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Finding the Fourth Proportional to 498,301.68, 747,495.72 and 143,344.56

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Solution

The fourth proportional to 498,301.68, 747,495.72 and 143,344.56 is: 215,029.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,301.68 : 747,495.72 = 143,344.56 : x
  2. Step 2: Convert to fraction form
    498,301.68/747,495.72 = 143,344.56/x
  3. Step 3: Cross multiply
    498,301.68x = 747,495.72 × 143,344.56
  4. Step 4: Simplify right side
    498,301.68x = 107,149,445,085.28
  5. Step 5: Solve for x
    x = 107,149,445,085.28/498,301.68
  6. Step 6: Final answer
    x = 215,029.27

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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.