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Finding the Fourth Proportional to 457,691.80, 686,537.70 and 289,730.20

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Solution

The fourth proportional to 457,691.80, 686,537.70 and 289,730.20 is: 434,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,691.80 : 686,537.70 = 289,730.20 : x
  2. Step 2: Convert to fraction form
    457,691.80/686,537.70 = 289,730.20/x
  3. Step 3: Cross multiply
    457,691.80x = 686,537.70 × 289,730.20
  4. Step 4: Simplify right side
    457,691.80x = 198,910,705,128.54
  5. Step 5: Solve for x
    x = 198,910,705,128.54/457,691.80
  6. Step 6: Final answer
    x = 434,595.30

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.