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Finding the Fourth Proportional to 407,127.60, 561,839.46 and 225,851.40

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Solution

The fourth proportional to 407,127.60, 561,839.46 and 225,851.40 is: 311,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,127.60 : 561,839.46 = 225,851.40 : x
  2. Step 2: Convert to fraction form
    407,127.60/561,839.46 = 225,851.40/x
  3. Step 3: Cross multiply
    407,127.60x = 561,839.46 × 225,851.40
  4. Step 4: Simplify right side
    407,127.60x = 126,892,228,616.24
  5. Step 5: Solve for x
    x = 126,892,228,616.24/407,127.60
  6. Step 6: Final answer
    x = 311,676.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.