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Finding the Fourth Proportional to 462,466.80, 693,829.80 and 225,817.20

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Solution

The fourth proportional to 462,466.80, 693,829.80 and 225,817.20 is: 338,789.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,466.80 : 693,829.80 = 225,817.20 : x
  2. Step 2: Convert to fraction form
    462,466.80/693,829.80 = 225,817.20/x
  3. Step 3: Cross multiply
    462,466.80x = 693,829.80 × 225,817.20
  4. Step 4: Simplify right side
    462,466.80x = 156,678,702,712.56
  5. Step 5: Solve for x
    x = 156,678,702,712.56/462,466.80
  6. Step 6: Final answer
    x = 338,789.08

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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.