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Finding the Fourth Proportional to 313,187.60, 469,779.14 and 76,528.10

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Solution

The fourth proportional to 313,187.60, 469,779.14 and 76,528.10 is: 114,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,187.60 : 469,779.14 = 76,528.10 : x
  2. Step 2: Convert to fraction form
    313,187.60/469,779.14 = 76,528.10/x
  3. Step 3: Cross multiply
    313,187.60x = 469,779.14 × 76,528.10
  4. Step 4: Simplify right side
    313,187.60x = 35,951,305,003.83
  5. Step 5: Solve for x
    x = 35,951,305,003.83/313,187.60
  6. Step 6: Final answer
    x = 114,791.60

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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.