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Finding the Fourth Proportional to 632,197, 948,098.67 and 211,374.46

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Solution

The fourth proportional to 632,197, 948,098.67 and 211,374.46 is: 316,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,197 : 948,098.67 = 211,374.46 : x
  2. Step 2: Convert to fraction form
    632,197/948,098.67 = 211,374.46/x
  3. Step 3: Cross multiply
    632,197x = 948,098.67 × 211,374.46
  4. Step 4: Simplify right side
    632,197x = 200,403,844,397.97
  5. Step 5: Solve for x
    x = 200,403,844,397.97/632,197
  6. Step 6: Final answer
    x = 316,995.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.