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Finding the Fourth Proportional to 471,740.68, 707,479.66 and 156,222.19

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Solution

The fourth proportional to 471,740.68, 707,479.66 and 156,222.19 is: 234,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,740.68 : 707,479.66 = 156,222.19 : x
  2. Step 2: Convert to fraction form
    471,740.68/707,479.66 = 156,222.19/x
  3. Step 3: Cross multiply
    471,740.68x = 707,479.66 × 156,222.19
  4. Step 4: Simplify right side
    471,740.68x = 110,524,021,865.66
  5. Step 5: Solve for x
    x = 110,524,021,865.66/471,740.68
  6. Step 6: Final answer
    x = 234,289.78

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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.