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Finding the Fourth Proportional to 407,630.80, 611,446.20 and 112,142.80

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Solution

The fourth proportional to 407,630.80, 611,446.20 and 112,142.80 is: 168,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,630.80 : 611,446.20 = 112,142.80 : x
  2. Step 2: Convert to fraction form
    407,630.80/611,446.20 = 112,142.80/x
  3. Step 3: Cross multiply
    407,630.80x = 611,446.20 × 112,142.80
  4. Step 4: Simplify right side
    407,630.80x = 68,569,288,917.36
  5. Step 5: Solve for x
    x = 68,569,288,917.36/407,630.80
  6. Step 6: Final answer
    x = 168,214.20

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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.