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Finding the Fourth Proportional to 632,535.32, 948,801.80 and 206,070.66

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Solution

The fourth proportional to 632,535.32, 948,801.80 and 206,070.66 is: 309,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,535.32 : 948,801.80 = 206,070.66 : x
  2. Step 2: Convert to fraction form
    632,535.32/948,801.80 = 206,070.66/x
  3. Step 3: Cross multiply
    632,535.32x = 948,801.80 × 206,070.66
  4. Step 4: Simplify right side
    632,535.32x = 195,520,213,135.19
  5. Step 5: Solve for x
    x = 195,520,213,135.19/632,535.32
  6. Step 6: Final answer
    x = 309,105.61

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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.