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Finding the Fourth Proportional to 424,710.28, 586,156.26 and 274,244.68

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Solution

The fourth proportional to 424,710.28, 586,156.26 and 274,244.68 is: 378,493.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,710.28 : 586,156.26 = 274,244.68 : x
  2. Step 2: Convert to fraction form
    424,710.28/586,156.26 = 274,244.68/x
  3. Step 3: Cross multiply
    424,710.28x = 586,156.26 × 274,244.68
  4. Step 4: Simplify right side
    424,710.28x = 160,750,235,953.70
  5. Step 5: Solve for x
    x = 160,750,235,953.70/424,710.28
  6. Step 6: Final answer
    x = 378,493.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.