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Finding the Fourth Proportional to 594,099.28, 891,382.20 and 261,442

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Solution

The fourth proportional to 594,099.28, 891,382.20 and 261,442 is: 392,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,099.28 : 891,382.20 = 261,442 : x
  2. Step 2: Convert to fraction form
    594,099.28/891,382.20 = 261,442/x
  3. Step 3: Cross multiply
    594,099.28x = 891,382.20 × 261,442
  4. Step 4: Simplify right side
    594,099.28x = 233,044,745,132.40
  5. Step 5: Solve for x
    x = 233,044,745,132.40/594,099.28
  6. Step 6: Final answer
    x = 392,265.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.