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Finding the Fourth Proportional to 397,121.08, 548,031.30 and 215,833

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Solution

The fourth proportional to 397,121.08, 548,031.30 and 215,833 is: 297,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,121.08 : 548,031.30 = 215,833 : x
  2. Step 2: Convert to fraction form
    397,121.08/548,031.30 = 215,833/x
  3. Step 3: Cross multiply
    397,121.08x = 548,031.30 × 215,833
  4. Step 4: Simplify right side
    397,121.08x = 118,283,239,572.90
  5. Step 5: Solve for x
    x = 118,283,239,572.90/397,121.08
  6. Step 6: Final answer
    x = 297,851.83

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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.