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Finding the Fourth Proportional to 462,179.88, 693,036.54 and 225,167.40

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Solution

The fourth proportional to 462,179.88, 693,036.54 and 225,167.40 is: 337,637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,179.88 : 693,036.54 = 225,167.40 : x
  2. Step 2: Convert to fraction form
    462,179.88/693,036.54 = 225,167.40/x
  3. Step 3: Cross multiply
    462,179.88x = 693,036.54 × 225,167.40
  4. Step 4: Simplify right side
    462,179.88x = 156,049,235,816.80
  5. Step 5: Solve for x
    x = 156,049,235,816.80/462,179.88
  6. Step 6: Final answer
    x = 337,637.45

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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.