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Finding the Fourth Proportional to 409,267.55, 564,714.26 and 227,974.97

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Solution

The fourth proportional to 409,267.55, 564,714.26 and 227,974.97 is: 314,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,267.55 : 564,714.26 = 227,974.97 : x
  2. Step 2: Convert to fraction form
    409,267.55/564,714.26 = 227,974.97/x
  3. Step 3: Cross multiply
    409,267.55x = 564,714.26 × 227,974.97
  4. Step 4: Simplify right side
    409,267.55x = 128,740,716,346.12
  5. Step 5: Solve for x
    x = 128,740,716,346.12/409,267.55
  6. Step 6: Final answer
    x = 314,563.70

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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.