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Finding the Fourth Proportional to 295,941.60, 443,977.20 and 146,253.60

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Solution

The fourth proportional to 295,941.60, 443,977.20 and 146,253.60 is: 219,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,941.60 : 443,977.20 = 146,253.60 : x
  2. Step 2: Convert to fraction form
    295,941.60/443,977.20 = 146,253.60/x
  3. Step 3: Cross multiply
    295,941.60x = 443,977.20 × 146,253.60
  4. Step 4: Simplify right side
    295,941.60x = 64,933,263,817.92
  5. Step 5: Solve for x
    x = 64,933,263,817.92/295,941.60
  6. Step 6: Final answer
    x = 219,412.42

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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.