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Finding the Fourth Proportional to 502,873.62, 754,356.03 and 165,915.24

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Solution

The fourth proportional to 502,873.62, 754,356.03 and 165,915.24 is: 248,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,873.62 : 754,356.03 = 165,915.24 : x
  2. Step 2: Convert to fraction form
    502,873.62/754,356.03 = 165,915.24/x
  3. Step 3: Cross multiply
    502,873.62x = 754,356.03 × 165,915.24
  4. Step 4: Simplify right side
    502,873.62x = 125,159,161,762.90
  5. Step 5: Solve for x
    x = 125,159,161,762.90/502,873.62
  6. Step 6: Final answer
    x = 248,887.91

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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.