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Finding the Fourth Proportional to 314,429.60, 471,644.40 and 219,951.20

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Solution

The fourth proportional to 314,429.60, 471,644.40 and 219,951.20 is: 329,926.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,429.60 : 471,644.40 = 219,951.20 : x
  2. Step 2: Convert to fraction form
    314,429.60/471,644.40 = 219,951.20/x
  3. Step 3: Cross multiply
    314,429.60x = 471,644.40 × 219,951.20
  4. Step 4: Simplify right side
    314,429.60x = 103,738,751,753.28
  5. Step 5: Solve for x
    x = 103,738,751,753.28/314,429.60
  6. Step 6: Final answer
    x = 329,926.80

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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.