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Finding the Fourth Proportional to 284,233.74, 392,240.15 and 156,906.60

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Solution

The fourth proportional to 284,233.74, 392,240.15 and 156,906.60 is: 216,529.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,233.74 : 392,240.15 = 156,906.60 : x
  2. Step 2: Convert to fraction form
    284,233.74/392,240.15 = 156,906.60/x
  3. Step 3: Cross multiply
    284,233.74x = 392,240.15 × 156,906.60
  4. Step 4: Simplify right side
    284,233.74x = 61,545,068,319.99
  5. Step 5: Solve for x
    x = 61,545,068,319.99/284,233.74
  6. Step 6: Final answer
    x = 216,529.78

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1.5x scale

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.