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Finding the Fourth Proportional to 457,084.17, 685,742.91 and 289,793.25

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Solution

The fourth proportional to 457,084.17, 685,742.91 and 289,793.25 is: 434,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,084.17 : 685,742.91 = 289,793.25 : x
  2. Step 2: Convert to fraction form
    457,084.17/685,742.91 = 289,793.25/x
  3. Step 3: Cross multiply
    457,084.17x = 685,742.91 × 289,793.25
  4. Step 4: Simplify right side
    457,084.17x = 198,723,666,553.36
  5. Step 5: Solve for x
    x = 198,723,666,553.36/457,084.17
  6. Step 6: Final answer
    x = 434,763.83

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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.