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Finding the Fourth Proportional to 457,711.80, 686,567.70 and 289,750.20

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Solution

The fourth proportional to 457,711.80, 686,567.70 and 289,750.20 is: 434,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,711.80 : 686,567.70 = 289,750.20 : x
  2. Step 2: Convert to fraction form
    457,711.80/686,567.70 = 289,750.20/x
  3. Step 3: Cross multiply
    457,711.80x = 686,567.70 × 289,750.20
  4. Step 4: Simplify right side
    457,711.80x = 198,933,128,388.54
  5. Step 5: Solve for x
    x = 198,933,128,388.54/457,711.80
  6. Step 6: Final answer
    x = 434,625.30

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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.