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Finding the Fourth Proportional to 471,993.62, 707,727.98 and 156,278.30

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Solution

The fourth proportional to 471,993.62, 707,727.98 and 156,278.30 is: 234,330.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,993.62 : 707,727.98 = 156,278.30 : x
  2. Step 2: Convert to fraction form
    471,993.62/707,727.98 = 156,278.30/x
  3. Step 3: Cross multiply
    471,993.62x = 707,727.98 × 156,278.30
  4. Step 4: Simplify right side
    471,993.62x = 110,602,522,428.89
  5. Step 5: Solve for x
    x = 110,602,522,428.89/471,993.62
  6. Step 6: Final answer
    x = 234,330.55

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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.