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Finding the Fourth Proportional to 393,759.13, 590,726.17 and 144,441.13

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Solution

The fourth proportional to 393,759.13, 590,726.17 and 144,441.13 is: 216,693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,759.13 : 590,726.17 = 144,441.13 : x
  2. Step 2: Convert to fraction form
    393,759.13/590,726.17 = 144,441.13/x
  3. Step 3: Cross multiply
    393,759.13x = 590,726.17 × 144,441.13
  4. Step 4: Simplify right side
    393,759.13x = 85,325,155,515.37
  5. Step 5: Solve for x
    x = 85,325,155,515.37/393,759.13
  6. Step 6: Final answer
    x = 216,693.78

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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.