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Finding the Fourth Proportional to 263,564.34, 395,385.14 and 83,589.74

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Solution

The fourth proportional to 263,564.34, 395,385.14 and 83,589.74 is: 125,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,564.34 : 395,385.14 = 83,589.74 : x
  2. Step 2: Convert to fraction form
    263,564.34/395,385.14 = 83,589.74/x
  3. Step 3: Cross multiply
    263,564.34x = 395,385.14 × 83,589.74
  4. Step 4: Simplify right side
    263,564.34x = 33,050,141,052.46
  5. Step 5: Solve for x
    x = 33,050,141,052.46/263,564.34
  6. Step 6: Final answer
    x = 125,396.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.