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Finding the Fourth Proportional to 288,615.34, 398,031.32 and 181,195.38

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Solution

The fourth proportional to 288,615.34, 398,031.32 and 181,195.38 is: 249,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,615.34 : 398,031.32 = 181,195.38 : x
  2. Step 2: Convert to fraction form
    288,615.34/398,031.32 = 181,195.38/x
  3. Step 3: Cross multiply
    288,615.34x = 398,031.32 × 181,195.38
  4. Step 4: Simplify right side
    288,615.34x = 72,121,436,279.30
  5. Step 5: Solve for x
    x = 72,121,436,279.30/288,615.34
  6. Step 6: Final answer
    x = 249,887.74

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