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Finding the Fourth Proportional to 284,044.32, 391,981.12 and 156,720.16

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Solution

The fourth proportional to 284,044.32, 391,981.12 and 156,720.16 is: 216,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,044.32 : 391,981.12 = 156,720.16 : x
  2. Step 2: Convert to fraction form
    284,044.32/391,981.12 = 156,720.16/x
  3. Step 3: Cross multiply
    284,044.32x = 391,981.12 × 156,720.16
  4. Step 4: Simplify right side
    284,044.32x = 61,431,343,843.38
  5. Step 5: Solve for x
    x = 61,431,343,843.38/284,044.32
  6. Step 6: Final answer
    x = 216,273.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.