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Finding the Fourth Proportional to 471,340.96, 707,122.17 and 155,797.86

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Solution

The fourth proportional to 471,340.96, 707,122.17 and 155,797.86 is: 233,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,340.96 : 707,122.17 = 155,797.86 : x
  2. Step 2: Convert to fraction form
    471,340.96/707,122.17 = 155,797.86/x
  3. Step 3: Cross multiply
    471,340.96x = 707,122.17 × 155,797.86
  4. Step 4: Simplify right side
    471,340.96x = 110,168,120,844.56
  5. Step 5: Solve for x
    x = 110,168,120,844.56/471,340.96
  6. Step 6: Final answer
    x = 233,733.39

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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.