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Finding the Fourth Proportional to 509,758.20, 764,637.30 and 431,026.20

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Solution

The fourth proportional to 509,758.20, 764,637.30 and 431,026.20 is: 646,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,758.20 : 764,637.30 = 431,026.20 : x
  2. Step 2: Convert to fraction form
    509,758.20/764,637.30 = 431,026.20/x
  3. Step 3: Cross multiply
    509,758.20x = 764,637.30 × 431,026.20
  4. Step 4: Simplify right side
    509,758.20x = 329,578,709,797.26
  5. Step 5: Solve for x
    x = 329,578,709,797.26/509,758.20
  6. Step 6: Final answer
    x = 646,539.30

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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.