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Finding the Fourth Proportional to 632,258.64, 948,504.97 and 200,084.93

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Solution

The fourth proportional to 632,258.64, 948,504.97 and 200,084.93 is: 300,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,258.64 : 948,504.97 = 200,084.93 : x
  2. Step 2: Convert to fraction form
    632,258.64/948,504.97 = 200,084.93/x
  3. Step 3: Cross multiply
    632,258.64x = 948,504.97 × 200,084.93
  4. Step 4: Simplify right side
    632,258.64x = 189,781,549,591.58
  5. Step 5: Solve for x
    x = 189,781,549,591.58/632,258.64
  6. Step 6: Final answer
    x = 300,164.42

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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.