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Finding the Fourth Proportional to 263,938.60, 395,904.30 and 86,451.40

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Solution

The fourth proportional to 263,938.60, 395,904.30 and 86,451.40 is: 129,675.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,938.60 : 395,904.30 = 86,451.40 : x
  2. Step 2: Convert to fraction form
    263,938.60/395,904.30 = 86,451.40/x
  3. Step 3: Cross multiply
    263,938.60x = 395,904.30 × 86,451.40
  4. Step 4: Simplify right side
    263,938.60x = 34,226,481,001.02
  5. Step 5: Solve for x
    x = 34,226,481,001.02/263,938.60
  6. Step 6: Final answer
    x = 129,675.92

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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.