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Finding the Fourth Proportional to 410,542.80, 615,727.80 and 173,893.20

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Solution

The fourth proportional to 410,542.80, 615,727.80 and 173,893.20 is: 260,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,542.80 : 615,727.80 = 173,893.20 : x
  2. Step 2: Convert to fraction form
    410,542.80/615,727.80 = 173,893.20/x
  3. Step 3: Cross multiply
    410,542.80x = 615,727.80 × 173,893.20
  4. Step 4: Simplify right side
    410,542.80x = 107,070,877,470.96
  5. Step 5: Solve for x
    x = 107,070,877,470.96/410,542.80
  6. Step 6: Final answer
    x = 260,803.20

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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.