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Finding the Fourth Proportional to 408,158.40, 612,237.60 and 363,057.60

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Solution

The fourth proportional to 408,158.40, 612,237.60 and 363,057.60 is: 544,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,158.40 : 612,237.60 = 363,057.60 : x
  2. Step 2: Convert to fraction form
    408,158.40/612,237.60 = 363,057.60/x
  3. Step 3: Cross multiply
    408,158.40x = 612,237.60 × 363,057.60
  4. Step 4: Simplify right side
    408,158.40x = 222,277,513,685.76
  5. Step 5: Solve for x
    x = 222,277,513,685.76/408,158.40
  6. Step 6: Final answer
    x = 544,586.40

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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.