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Finding the Fourth Proportional to 318,753.92, 439,820.24 and 197,924.64

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Solution

The fourth proportional to 318,753.92, 439,820.24 and 197,924.64 is: 273,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,753.92 : 439,820.24 = 197,924.64 : x
  2. Step 2: Convert to fraction form
    318,753.92/439,820.24 = 197,924.64/x
  3. Step 3: Cross multiply
    318,753.92x = 439,820.24 × 197,924.64
  4. Step 4: Simplify right side
    318,753.92x = 87,051,262,666.71
  5. Step 5: Solve for x
    x = 87,051,262,666.71/318,753.92
  6. Step 6: Final answer
    x = 273,098.64

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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.