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Finding the Fourth Proportional to 409,171.95, 564,504.48 and 408,541.14

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Solution

The fourth proportional to 409,171.95, 564,504.48 and 408,541.14 is: 563,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,171.95 : 564,504.48 = 408,541.14 : x
  2. Step 2: Convert to fraction form
    409,171.95/564,504.48 = 408,541.14/x
  3. Step 3: Cross multiply
    409,171.95x = 564,504.48 × 408,541.14
  4. Step 4: Simplify right side
    409,171.95x = 230,623,303,794.31
  5. Step 5: Solve for x
    x = 230,623,303,794.31/409,171.95
  6. Step 6: Final answer
    x = 563,634.20

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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.