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Finding the Fourth Proportional to 460,563.76, 690,950.80 and 140,761.14

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Solution

The fourth proportional to 460,563.76, 690,950.80 and 140,761.14 is: 211,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,563.76 : 690,950.80 = 140,761.14 : x
  2. Step 2: Convert to fraction form
    460,563.76/690,950.80 = 140,761.14/x
  3. Step 3: Cross multiply
    460,563.76x = 690,950.80 × 140,761.14
  4. Step 4: Simplify right side
    460,563.76x = 97,259,022,291.91
  5. Step 5: Solve for x
    x = 97,259,022,291.91/460,563.76
  6. Step 6: Final answer
    x = 211,173.85

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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.