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Finding the Fourth Proportional to 403,909.60, 605,864.40 and 137,646.40

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Solution

The fourth proportional to 403,909.60, 605,864.40 and 137,646.40 is: 206,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,909.60 : 605,864.40 = 137,646.40 : x
  2. Step 2: Convert to fraction form
    403,909.60/605,864.40 = 137,646.40/x
  3. Step 3: Cross multiply
    403,909.60x = 605,864.40 × 137,646.40
  4. Step 4: Simplify right side
    403,909.60x = 83,395,053,548.16
  5. Step 5: Solve for x
    x = 83,395,053,548.16/403,909.60
  6. Step 6: Final answer
    x = 206,469.60

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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.