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Finding the Fourth Proportional to 283,706.90, 391,515.52 and 156,385.24

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Solution

The fourth proportional to 283,706.90, 391,515.52 and 156,385.24 is: 215,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,706.90 : 391,515.52 = 156,385.24 : x
  2. Step 2: Convert to fraction form
    283,706.90/391,515.52 = 156,385.24/x
  3. Step 3: Cross multiply
    283,706.90x = 391,515.52 × 156,385.24
  4. Step 4: Simplify right side
    283,706.90x = 61,227,248,558.92
  5. Step 5: Solve for x
    x = 61,227,248,558.92/283,706.90
  6. Step 6: Final answer
    x = 215,811.63

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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.