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Finding the Fourth Proportional to 284,234.67, 392,257.47 and 156,918.46

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Solution

The fourth proportional to 284,234.67, 392,257.47 and 156,918.46 is: 216,555.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,234.67 : 392,257.47 = 156,918.46 : x
  2. Step 2: Convert to fraction form
    284,234.67/392,257.47 = 156,918.46/x
  3. Step 3: Cross multiply
    284,234.67x = 392,257.47 × 156,918.46
  4. Step 4: Simplify right side
    284,234.67x = 61,552,438,115.90
  5. Step 5: Solve for x
    x = 61,552,438,115.90/284,234.67
  6. Step 6: Final answer
    x = 216,555.00

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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.