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Finding the Fourth Proportional to 460,418.76, 690,562.53 and 144,867.47

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Solution

The fourth proportional to 460,418.76, 690,562.53 and 144,867.47 is: 217,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,418.76 : 690,562.53 = 144,867.47 : x
  2. Step 2: Convert to fraction form
    460,418.76/690,562.53 = 144,867.47/x
  3. Step 3: Cross multiply
    460,418.76x = 690,562.53 × 144,867.47
  4. Step 4: Simplify right side
    460,418.76x = 100,040,043,145.09
  5. Step 5: Solve for x
    x = 100,040,043,145.09/460,418.76
  6. Step 6: Final answer
    x = 217,280.55

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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.