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Finding the Fourth Proportional to 407,713.80, 611,279.10 and 182,890.20

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Solution

The fourth proportional to 407,713.80, 611,279.10 and 182,890.20 is: 274,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,713.80 : 611,279.10 = 182,890.20 : x
  2. Step 2: Convert to fraction form
    407,713.80/611,279.10 = 182,890.20/x
  3. Step 3: Cross multiply
    407,713.80x = 611,279.10 × 182,890.20
  4. Step 4: Simplify right side
    407,713.80x = 111,796,956,854.82
  5. Step 5: Solve for x
    x = 111,796,956,854.82/407,713.80
  6. Step 6: Final answer
    x = 274,204.50

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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.