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Finding the Fourth Proportional to 397,108.06, 548,013.35 and 215,820

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Solution

The fourth proportional to 397,108.06, 548,013.35 and 215,820 is: 297,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,108.06 : 548,013.35 = 215,820 : x
  2. Step 2: Convert to fraction form
    397,108.06/548,013.35 = 215,820/x
  3. Step 3: Cross multiply
    397,108.06x = 548,013.35 × 215,820
  4. Step 4: Simplify right side
    397,108.06x = 118,272,241,197
  5. Step 5: Solve for x
    x = 118,272,241,197/397,108.06
  6. Step 6: Final answer
    x = 297,833.90

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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.