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Finding the Fourth Proportional to 408,001.20, 612,001.80 and 386,228.40

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Solution

The fourth proportional to 408,001.20, 612,001.80 and 386,228.40 is: 579,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,001.20 : 612,001.80 = 386,228.40 : x
  2. Step 2: Convert to fraction form
    408,001.20/612,001.80 = 386,228.40/x
  3. Step 3: Cross multiply
    408,001.20x = 612,001.80 × 386,228.40
  4. Step 4: Simplify right side
    408,001.20x = 236,372,476,011.12
  5. Step 5: Solve for x
    x = 236,372,476,011.12/408,001.20
  6. Step 6: Final answer
    x = 579,342.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.