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Finding the Fourth Proportional to 509,513.10, 764,276.85 and 193,987.26

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Solution

The fourth proportional to 509,513.10, 764,276.85 and 193,987.26 is: 290,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,513.10 : 764,276.85 = 193,987.26 : x
  2. Step 2: Convert to fraction form
    509,513.10/764,276.85 = 193,987.26/x
  3. Step 3: Cross multiply
    509,513.10x = 764,276.85 × 193,987.26
  4. Step 4: Simplify right side
    509,513.10x = 148,259,972,012.93
  5. Step 5: Solve for x
    x = 148,259,972,012.93/509,513.10
  6. Step 6: Final answer
    x = 290,983.63

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.