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Finding the Fourth Proportional to 409,204.22, 564,679.38 and 225,406.76

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Solution

The fourth proportional to 409,204.22, 564,679.38 and 225,406.76 is: 311,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,204.22 : 564,679.38 = 225,406.76 : x
  2. Step 2: Convert to fraction form
    409,204.22/564,679.38 = 225,406.76/x
  3. Step 3: Cross multiply
    409,204.22x = 564,679.38 × 225,406.76
  4. Step 4: Simplify right side
    409,204.22x = 127,282,549,484.61
  5. Step 5: Solve for x
    x = 127,282,549,484.61/409,204.22
  6. Step 6: Final answer
    x = 311,048.97

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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.