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Finding the Fourth Proportional to 502,665.31, 754,535.16 and 203,341.56

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Solution

The fourth proportional to 502,665.31, 754,535.16 and 203,341.56 is: 305,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,665.31 : 754,535.16 = 203,341.56 : x
  2. Step 2: Convert to fraction form
    502,665.31/754,535.16 = 203,341.56/x
  3. Step 3: Cross multiply
    502,665.31x = 754,535.16 × 203,341.56
  4. Step 4: Simplify right side
    502,665.31x = 153,428,356,509.25
  5. Step 5: Solve for x
    x = 153,428,356,509.25/502,665.31
  6. Step 6: Final answer
    x = 305,229.65

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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.