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Finding the Fourth Proportional to 566,081.28, 781,192.14 and 311,427

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Solution

The fourth proportional to 566,081.28, 781,192.14 and 311,427 is: 429,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,081.28 : 781,192.14 = 311,427 : x
  2. Step 2: Convert to fraction form
    566,081.28/781,192.14 = 311,427/x
  3. Step 3: Cross multiply
    566,081.28x = 781,192.14 × 311,427
  4. Step 4: Simplify right side
    566,081.28x = 243,284,324,583.78
  5. Step 5: Solve for x
    x = 243,284,324,583.78/566,081.28
  6. Step 6: Final answer
    x = 429,769.25

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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.