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Finding the Fourth Proportional to 457,695.80, 686,543.70 and 289,734.20

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Solution

The fourth proportional to 457,695.80, 686,543.70 and 289,734.20 is: 434,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,695.80 : 686,543.70 = 289,734.20 : x
  2. Step 2: Convert to fraction form
    457,695.80/686,543.70 = 289,734.20/x
  3. Step 3: Cross multiply
    457,695.80x = 686,543.70 × 289,734.20
  4. Step 4: Simplify right side
    457,695.80x = 198,915,189,684.54
  5. Step 5: Solve for x
    x = 198,915,189,684.54/457,695.80
  6. Step 6: Final answer
    x = 434,601.30

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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.