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Finding the Fourth Proportional to 474,841.62, 712,259.70 and 119,854.16

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Solution

The fourth proportional to 474,841.62, 712,259.70 and 119,854.16 is: 179,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,841.62 : 712,259.70 = 119,854.16 : x
  2. Step 2: Convert to fraction form
    474,841.62/712,259.70 = 119,854.16/x
  3. Step 3: Cross multiply
    474,841.62x = 712,259.70 × 119,854.16
  4. Step 4: Simplify right side
    474,841.62x = 85,367,288,045.35
  5. Step 5: Solve for x
    x = 85,367,288,045.35/474,841.62
  6. Step 6: Final answer
    x = 179,780.55

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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.