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Finding the Fourth Proportional to 471,917.72, 707,484.74 and 187,432.76

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Solution

The fourth proportional to 471,917.72, 707,484.74 and 187,432.76 is: 280,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,917.72 : 707,484.74 = 187,432.76 : x
  2. Step 2: Convert to fraction form
    471,917.72/707,484.74 = 187,432.76/x
  3. Step 3: Cross multiply
    471,917.72x = 707,484.74 × 187,432.76
  4. Step 4: Simplify right side
    471,917.72x = 132,605,817,476.08
  5. Step 5: Solve for x
    x = 132,605,817,476.08/471,917.72
  6. Step 6: Final answer
    x = 280,993.51

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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.