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Finding the Fourth Proportional to 509,906.10, 764,203.05 and 310,014.30

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Solution

The fourth proportional to 509,906.10, 764,203.05 and 310,014.30 is: 464,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,906.10 : 764,203.05 = 310,014.30 : x
  2. Step 2: Convert to fraction form
    509,906.10/764,203.05 = 310,014.30/x
  3. Step 3: Cross multiply
    509,906.10x = 764,203.05 × 310,014.30
  4. Step 4: Simplify right side
    509,906.10x = 236,913,873,603.62
  5. Step 5: Solve for x
    x = 236,913,873,603.62/509,906.10
  6. Step 6: Final answer
    x = 464,622.55

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Double scale
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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.