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Finding the Fourth Proportional to 397,242.46, 548,188.05 and 215,958.88

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Solution

The fourth proportional to 397,242.46, 548,188.05 and 215,958.88 is: 298,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,242.46 : 548,188.05 = 215,958.88 : x
  2. Step 2: Convert to fraction form
    397,242.46/548,188.05 = 215,958.88/x
  3. Step 3: Cross multiply
    397,242.46x = 548,188.05 × 215,958.88
  4. Step 4: Simplify right side
    397,242.46x = 118,386,077,307.38
  5. Step 5: Solve for x
    x = 118,386,077,307.38/397,242.46
  6. Step 6: Final answer
    x = 298,019.70

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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.