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Finding the Fourth Proportional to 471,577.90, 707,477.52 and 156,034.78

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Solution

The fourth proportional to 471,577.90, 707,477.52 and 156,034.78 is: 234,088.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,577.90 : 707,477.52 = 156,034.78 : x
  2. Step 2: Convert to fraction form
    471,577.90/707,477.52 = 156,034.78/x
  3. Step 3: Cross multiply
    471,577.90x = 707,477.52 × 156,034.78
  4. Step 4: Simplify right side
    471,577.90x = 110,391,099,188.15
  5. Step 5: Solve for x
    x = 110,391,099,188.15/471,577.90
  6. Step 6: Final answer
    x = 234,088.79

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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.