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Finding the Fourth Proportional to 471,998.12, 707,734.71 and 156,282.80

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Solution

The fourth proportional to 471,998.12, 707,734.71 and 156,282.80 is: 234,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,998.12 : 707,734.71 = 156,282.80 : x
  2. Step 2: Convert to fraction form
    471,998.12/707,734.71 = 156,282.80/x
  3. Step 3: Cross multiply
    471,998.12x = 707,734.71 × 156,282.80
  4. Step 4: Simplify right side
    471,998.12x = 110,606,758,597.31
  5. Step 5: Solve for x
    x = 110,606,758,597.31/471,998.12
  6. Step 6: Final answer
    x = 234,337.29

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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.