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Finding the Fourth Proportional to 632,199, 948,101.67 and 211,376.46

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Solution

The fourth proportional to 632,199, 948,101.67 and 211,376.46 is: 316,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,199 : 948,101.67 = 211,376.46 : x
  2. Step 2: Convert to fraction form
    632,199/948,101.67 = 211,376.46/x
  3. Step 3: Cross multiply
    632,199x = 948,101.67 × 211,376.46
  4. Step 4: Simplify right side
    632,199x = 200,406,374,724.69
  5. Step 5: Solve for x
    x = 200,406,374,724.69/632,199
  6. Step 6: Final answer
    x = 316,998.88

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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.