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Finding the Fourth Proportional to 457,306.65, 685,712.52 and 363,142.62

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Solution

The fourth proportional to 457,306.65, 685,712.52 and 363,142.62 is: 544,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,306.65 : 685,712.52 = 363,142.62 : x
  2. Step 2: Convert to fraction form
    457,306.65/685,712.52 = 363,142.62/x
  3. Step 3: Cross multiply
    457,306.65x = 685,712.52 × 363,142.62
  4. Step 4: Simplify right side
    457,306.65x = 249,011,441,079.60
  5. Step 5: Solve for x
    x = 249,011,441,079.60/457,306.65
  6. Step 6: Final answer
    x = 544,517.43

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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.