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Finding the Fourth Proportional to 324,079.92, 447,158.88 and 188,035.02

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Solution

The fourth proportional to 324,079.92, 447,158.88 and 188,035.02 is: 259,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,079.92 : 447,158.88 = 188,035.02 : x
  2. Step 2: Convert to fraction form
    324,079.92/447,158.88 = 188,035.02/x
  3. Step 3: Cross multiply
    324,079.92x = 447,158.88 × 188,035.02
  4. Step 4: Simplify right side
    324,079.92x = 84,081,528,943.98
  5. Step 5: Solve for x
    x = 84,081,528,943.98/324,079.92
  6. Step 6: Final answer
    x = 259,446.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.