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Finding the Fourth Proportional to 417,407.84, 626,149.20 and 117,891.44

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Solution

The fourth proportional to 417,407.84, 626,149.20 and 117,891.44 is: 176,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,407.84 : 626,149.20 = 117,891.44 : x
  2. Step 2: Convert to fraction form
    417,407.84/626,149.20 = 117,891.44/x
  3. Step 3: Cross multiply
    417,407.84x = 626,149.20 × 117,891.44
  4. Step 4: Simplify right side
    417,407.84x = 73,817,630,842.85
  5. Step 5: Solve for x
    x = 73,817,630,842.85/417,407.84
  6. Step 6: Final answer
    x = 176,847.73

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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.