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Finding the Fourth Proportional to 398,031.16, 596,494.38 and 181,360.38

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Solution

The fourth proportional to 398,031.16, 596,494.38 and 181,360.38 is: 271,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,031.16 : 596,494.38 = 181,360.38 : x
  2. Step 2: Convert to fraction form
    398,031.16/596,494.38 = 181,360.38/x
  3. Step 3: Cross multiply
    398,031.16x = 596,494.38 × 181,360.38
  4. Step 4: Simplify right side
    398,031.16x = 108,180,446,517.86
  5. Step 5: Solve for x
    x = 108,180,446,517.86/398,031.16
  6. Step 6: Final answer
    x = 271,788.89

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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.