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Finding the Fourth Proportional to 284,227.56, 392,234.56 and 156,903.30

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Solution

The fourth proportional to 284,227.56, 392,234.56 and 156,903.30 is: 216,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,227.56 : 392,234.56 = 156,903.30 : x
  2. Step 2: Convert to fraction form
    284,227.56/392,234.56 = 156,903.30/x
  3. Step 3: Cross multiply
    284,227.56x = 392,234.56 × 156,903.30
  4. Step 4: Simplify right side
    284,227.56x = 61,542,896,838.05
  5. Step 5: Solve for x
    x = 61,542,896,838.05/284,227.56
  6. Step 6: Final answer
    x = 216,526.85

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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.