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Finding the Fourth Proportional to 403,612.80, 605,419.20 and 123,129.60

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Solution

The fourth proportional to 403,612.80, 605,419.20 and 123,129.60 is: 184,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,612.80 : 605,419.20 = 123,129.60 : x
  2. Step 2: Convert to fraction form
    403,612.80/605,419.20 = 123,129.60/x
  3. Step 3: Cross multiply
    403,612.80x = 605,419.20 × 123,129.60
  4. Step 4: Simplify right side
    403,612.80x = 74,545,023,928.32
  5. Step 5: Solve for x
    x = 74,545,023,928.32/403,612.80
  6. Step 6: Final answer
    x = 184,694.40

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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.