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Finding the Fourth Proportional to 411,043.80, 616,565.70 and 130,589.40

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Solution

The fourth proportional to 411,043.80, 616,565.70 and 130,589.40 is: 195,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,043.80 : 616,565.70 = 130,589.40 : x
  2. Step 2: Convert to fraction form
    411,043.80/616,565.70 = 130,589.40/x
  3. Step 3: Cross multiply
    411,043.80x = 616,565.70 × 130,589.40
  4. Step 4: Simplify right side
    411,043.80x = 80,516,944,823.58
  5. Step 5: Solve for x
    x = 80,516,944,823.58/411,043.80
  6. Step 6: Final answer
    x = 195,884.10

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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.