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Finding the Fourth Proportional to 329,843.20, 462,713.60 and 329,843.20

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Solution

The fourth proportional to 329,843.20, 462,713.60 and 329,843.20 is: 462,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,843.20 : 462,713.60 = 329,843.20 : x
  2. Step 2: Convert to fraction form
    329,843.20/462,713.60 = 329,843.20/x
  3. Step 3: Cross multiply
    329,843.20x = 462,713.60 × 329,843.20
  4. Step 4: Simplify right side
    329,843.20x = 152,622,934,507.52
  5. Step 5: Solve for x
    x = 152,622,934,507.52/329,843.20
  6. Step 6: Final answer
    x = 462,713.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.