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Finding the Fourth Proportional to 457,590.80, 686,515.80 and 142,079.60

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Solution

The fourth proportional to 457,590.80, 686,515.80 and 142,079.60 is: 213,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,590.80 : 686,515.80 = 142,079.60 : x
  2. Step 2: Convert to fraction form
    457,590.80/686,515.80 = 142,079.60/x
  3. Step 3: Cross multiply
    457,590.80x = 686,515.80 × 142,079.60
  4. Step 4: Simplify right side
    457,590.80x = 97,539,890,257.68
  5. Step 5: Solve for x
    x = 97,539,890,257.68/457,590.80
  6. Step 6: Final answer
    x = 213,159.64

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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.