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Finding the Fourth Proportional to 284,230.67, 392,251.95 and 156,914.46

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Solution

The fourth proportional to 284,230.67, 392,251.95 and 156,914.46 is: 216,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,230.67 : 392,251.95 = 156,914.46 : x
  2. Step 2: Convert to fraction form
    284,230.67/392,251.95 = 156,914.46/x
  3. Step 3: Cross multiply
    284,230.67x = 392,251.95 × 156,914.46
  4. Step 4: Simplify right side
    284,230.67x = 61,550,002,918.20
  5. Step 5: Solve for x
    x = 61,550,002,918.20/284,230.67
  6. Step 6: Final answer
    x = 216,549.48

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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.