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Finding the Fourth Proportional to 284,227.53, 392,223.71 and 156,900.39

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Solution

The fourth proportional to 284,227.53, 392,223.71 and 156,900.39 is: 216,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,227.53 : 392,223.71 = 156,900.39 : x
  2. Step 2: Convert to fraction form
    284,227.53/392,223.71 = 156,900.39/x
  3. Step 3: Cross multiply
    284,227.53x = 392,223.71 × 156,900.39
  4. Step 4: Simplify right side
    284,227.53x = 61,540,052,281.75
  5. Step 5: Solve for x
    x = 61,540,052,281.75/284,227.53
  6. Step 6: Final answer
    x = 216,516.86

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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.