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Finding the Fourth Proportional to 397,319.30, 548,285.52 and 216,031.38

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Solution

The fourth proportional to 397,319.30, 548,285.52 and 216,031.38 is: 298,115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,319.30 : 548,285.52 = 216,031.38 : x
  2. Step 2: Convert to fraction form
    397,319.30/548,285.52 = 216,031.38/x
  3. Step 3: Cross multiply
    397,319.30x = 548,285.52 × 216,031.38
  4. Step 4: Simplify right side
    397,319.30x = 118,446,876,273.67
  5. Step 5: Solve for x
    x = 118,446,876,273.67/397,319.30
  6. Step 6: Final answer
    x = 298,115.08

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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.