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Finding the Fourth Proportional to 437,977.80, 656,602.20 and 185,452.20

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Solution

The fourth proportional to 437,977.80, 656,602.20 and 185,452.20 is: 278,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,977.80 : 656,602.20 = 185,452.20 : x
  2. Step 2: Convert to fraction form
    437,977.80/656,602.20 = 185,452.20/x
  3. Step 3: Cross multiply
    437,977.80x = 656,602.20 × 185,452.20
  4. Step 4: Simplify right side
    437,977.80x = 121,768,322,514.84
  5. Step 5: Solve for x
    x = 121,768,322,514.84/437,977.80
  6. Step 6: Final answer
    x = 278,023.96

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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.