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Finding the Fourth Proportional to 357,619.74, 493,951.82 and 267,376.43

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Solution

The fourth proportional to 357,619.74, 493,951.82 and 267,376.43 is: 369,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,619.74 : 493,951.82 = 267,376.43 : x
  2. Step 2: Convert to fraction form
    357,619.74/493,951.82 = 267,376.43/x
  3. Step 3: Cross multiply
    357,619.74x = 493,951.82 × 267,376.43
  4. Step 4: Simplify right side
    357,619.74x = 132,071,070,416.96
  5. Step 5: Solve for x
    x = 132,071,070,416.96/357,619.74
  6. Step 6: Final answer
    x = 369,305.87

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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.