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Finding the Fourth Proportional to 408,662.40, 614,030.40 and 363,043.20

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Solution

The fourth proportional to 408,662.40, 614,030.40 and 363,043.20 is: 545,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,662.40 : 614,030.40 = 363,043.20 : x
  2. Step 2: Convert to fraction form
    408,662.40/614,030.40 = 363,043.20/x
  3. Step 3: Cross multiply
    408,662.40x = 614,030.40 × 363,043.20
  4. Step 4: Simplify right side
    408,662.40x = 222,919,561,313.28
  5. Step 5: Solve for x
    x = 222,919,561,313.28/408,662.40
  6. Step 6: Final answer
    x = 545,485.86

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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.