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Finding the Fourth Proportional to 502,874.12, 754,356.78 and 165,915.74

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Solution

The fourth proportional to 502,874.12, 754,356.78 and 165,915.74 is: 248,888.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,874.12 : 754,356.78 = 165,915.74 : x
  2. Step 2: Convert to fraction form
    502,874.12/754,356.78 = 165,915.74/x
  3. Step 3: Cross multiply
    502,874.12x = 754,356.78 × 165,915.74
  4. Step 4: Simplify right side
    502,874.12x = 125,159,663,377.72
  5. Step 5: Solve for x
    x = 125,159,663,377.72/502,874.12
  6. Step 6: Final answer
    x = 248,888.66

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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.