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Finding the Fourth Proportional to 408,077.60, 612,116.40 and 363,754.40

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Solution

The fourth proportional to 408,077.60, 612,116.40 and 363,754.40 is: 545,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,077.60 : 612,116.40 = 363,754.40 : x
  2. Step 2: Convert to fraction form
    408,077.60/612,116.40 = 363,754.40/x
  3. Step 3: Cross multiply
    408,077.60x = 612,116.40 × 363,754.40
  4. Step 4: Simplify right side
    408,077.60x = 222,660,033,812.16
  5. Step 5: Solve for x
    x = 222,660,033,812.16/408,077.60
  6. Step 6: Final answer
    x = 545,631.60

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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.