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Finding the Fourth Proportional to 408,429.60, 611,769.60 and 338,445.60

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Solution

The fourth proportional to 408,429.60, 611,769.60 and 338,445.60 is: 506,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,429.60 : 611,769.60 = 338,445.60 : x
  2. Step 2: Convert to fraction form
    408,429.60/611,769.60 = 338,445.60/x
  3. Step 3: Cross multiply
    408,429.60x = 611,769.60 × 338,445.60
  4. Step 4: Simplify right side
    408,429.60x = 207,050,729,333.76
  5. Step 5: Solve for x
    x = 207,050,729,333.76/408,429.60
  6. Step 6: Final answer
    x = 506,943.50

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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.