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Finding the Fourth Proportional to 409,106.76, 564,567.21 and 239,373.78

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Solution

The fourth proportional to 409,106.76, 564,567.21 and 239,373.78 is: 330,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,106.76 : 564,567.21 = 239,373.78 : x
  2. Step 2: Convert to fraction form
    409,106.76/564,567.21 = 239,373.78/x
  3. Step 3: Cross multiply
    409,106.76x = 564,567.21 × 239,373.78
  4. Step 4: Simplify right side
    409,106.76x = 135,142,587,121.75
  5. Step 5: Solve for x
    x = 135,142,587,121.75/409,106.76
  6. Step 6: Final answer
    x = 330,335.75

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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.