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Finding the Fourth Proportional to 284,227.67, 392,247.81 and 156,911.46

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Solution

The fourth proportional to 284,227.67, 392,247.81 and 156,911.46 is: 216,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,227.67 : 392,247.81 = 156,911.46 : x
  2. Step 2: Convert to fraction form
    284,227.67/392,247.81 = 156,911.46/x
  3. Step 3: Cross multiply
    284,227.67x = 392,247.81 × 156,911.46
  4. Step 4: Simplify right side
    284,227.67x = 61,548,176,548.90
  5. Step 5: Solve for x
    x = 61,548,176,548.90/284,227.67
  6. Step 6: Final answer
    x = 216,545.34

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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.