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Finding the Fourth Proportional to 392,111.40, 585,511.08 and 311,242.08

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Solution

The fourth proportional to 392,111.40, 585,511.08 and 311,242.08 is: 464,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,111.40 : 585,511.08 = 311,242.08 : x
  2. Step 2: Convert to fraction form
    392,111.40/585,511.08 = 311,242.08/x
  3. Step 3: Cross multiply
    392,111.40x = 585,511.08 × 311,242.08
  4. Step 4: Simplify right side
    392,111.40x = 182,235,686,402.25
  5. Step 5: Solve for x
    x = 182,235,686,402.25/392,111.40
  6. Step 6: Final answer
    x = 464,754.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.