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Finding the Fourth Proportional to 291,465.60, 437,198.40 and 166,819.20

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Solution

The fourth proportional to 291,465.60, 437,198.40 and 166,819.20 is: 250,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,465.60 : 437,198.40 = 166,819.20 : x
  2. Step 2: Convert to fraction form
    291,465.60/437,198.40 = 166,819.20/x
  3. Step 3: Cross multiply
    291,465.60x = 437,198.40 × 166,819.20
  4. Step 4: Simplify right side
    291,465.60x = 72,933,087,329.28
  5. Step 5: Solve for x
    x = 72,933,087,329.28/291,465.60
  6. Step 6: Final answer
    x = 250,228.80

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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.