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Finding the Fourth Proportional to 502,792.47, 754,026.71 and 165,754.71

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Solution

The fourth proportional to 502,792.47, 754,026.71 and 165,754.71 is: 248,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,792.47 : 754,026.71 = 165,754.71 : x
  2. Step 2: Convert to fraction form
    502,792.47/754,026.71 = 165,754.71/x
  3. Step 3: Cross multiply
    502,792.47x = 754,026.71 × 165,754.71
  4. Step 4: Simplify right side
    502,792.47x = 124,983,477,819.53
  5. Step 5: Solve for x
    x = 124,983,477,819.53/502,792.47
  6. Step 6: Final answer
    x = 248,578.66

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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.