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Finding the Fourth Proportional to 409,117.26, 564,581.70 and 239,384.28

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Solution

The fourth proportional to 409,117.26, 564,581.70 and 239,384.28 is: 330,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,117.26 : 564,581.70 = 239,384.28 : x
  2. Step 2: Convert to fraction form
    409,117.26/564,581.70 = 239,384.28/x
  3. Step 3: Cross multiply
    409,117.26x = 564,581.70 × 239,384.28
  4. Step 4: Simplify right side
    409,117.26x = 135,151,983,755.68
  5. Step 5: Solve for x
    x = 135,151,983,755.68/409,117.26
  6. Step 6: Final answer
    x = 330,350.24

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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.