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Finding the Fourth Proportional to 421,466, 632,067.78 and 140,917.64

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Solution

The fourth proportional to 421,466, 632,067.78 and 140,917.64 is: 211,332.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,466 : 632,067.78 = 140,917.64 : x
  2. Step 2: Convert to fraction form
    421,466/632,067.78 = 140,917.64/x
  3. Step 3: Cross multiply
    421,466x = 632,067.78 × 140,917.64
  4. Step 4: Simplify right side
    421,466x = 89,069,499,877.64
  5. Step 5: Solve for x
    x = 89,069,499,877.64/421,466
  6. Step 6: Final answer
    x = 211,332.59

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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.