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Finding the Fourth Proportional to 564,556.42, 846,656.20 and 185,414.68

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Solution

The fourth proportional to 564,556.42, 846,656.20 and 185,414.68 is: 278,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,556.42 : 846,656.20 = 185,414.68 : x
  2. Step 2: Convert to fraction form
    564,556.42/846,656.20 = 185,414.68/x
  3. Step 3: Cross multiply
    564,556.42x = 846,656.20 × 185,414.68
  4. Step 4: Simplify right side
    564,556.42x = 156,982,488,393.02
  5. Step 5: Solve for x
    x = 156,982,488,393.02/564,556.42
  6. Step 6: Final answer
    x = 278,063.42

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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.