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Finding the Fourth Proportional to 496,150.74, 743,287.03 and 293,139.72

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Solution

The fourth proportional to 496,150.74, 743,287.03 and 293,139.72 is: 439,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,150.74 : 743,287.03 = 293,139.72 : x
  2. Step 2: Convert to fraction form
    496,150.74/743,287.03 = 293,139.72/x
  3. Step 3: Cross multiply
    496,150.74x = 743,287.03 × 293,139.72
  4. Step 4: Simplify right side
    496,150.74x = 217,886,951,120.98
  5. Step 5: Solve for x
    x = 217,886,951,120.98/496,150.74
  6. Step 6: Final answer
    x = 439,154.74

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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.