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Finding the Fourth Proportional to 409,266.27, 564,765.39 and 225,498.69

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Solution

The fourth proportional to 409,266.27, 564,765.39 and 225,498.69 is: 311,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,266.27 : 564,765.39 = 225,498.69 : x
  2. Step 2: Convert to fraction form
    409,266.27/564,765.39 = 225,498.69/x
  3. Step 3: Cross multiply
    409,266.27x = 564,765.39 × 225,498.69
  4. Step 4: Simplify right side
    409,266.27x = 127,353,855,602.34
  5. Step 5: Solve for x
    x = 127,353,855,602.34/409,266.27
  6. Step 6: Final answer
    x = 311,176.04

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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.