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Finding the Fourth Proportional to 324,593.82, 447,931.08 and 181,354.86

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Solution

The fourth proportional to 324,593.82, 447,931.08 and 181,354.86 is: 250,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,593.82 : 447,931.08 = 181,354.86 : x
  2. Step 2: Convert to fraction form
    324,593.82/447,931.08 = 181,354.86/x
  3. Step 3: Cross multiply
    324,593.82x = 447,931.08 × 181,354.86
  4. Step 4: Simplify right side
    324,593.82x = 81,234,478,303.05
  5. Step 5: Solve for x
    x = 81,234,478,303.05/324,593.82
  6. Step 6: Final answer
    x = 250,265.02

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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.