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Finding the Fourth Proportional to 403,753.60, 605,630.40 and 271,043.20

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Solution

The fourth proportional to 403,753.60, 605,630.40 and 271,043.20 is: 406,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,753.60 : 605,630.40 = 271,043.20 : x
  2. Step 2: Convert to fraction form
    403,753.60/605,630.40 = 271,043.20/x
  3. Step 3: Cross multiply
    403,753.60x = 605,630.40 × 271,043.20
  4. Step 4: Simplify right side
    403,753.60x = 164,152,001,633.28
  5. Step 5: Solve for x
    x = 164,152,001,633.28/403,753.60
  6. Step 6: Final answer
    x = 406,564.80

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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.