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Finding the Fourth Proportional to 514,725.89, 772,190.91 and 159,724.76

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Solution

The fourth proportional to 514,725.89, 772,190.91 and 159,724.76 is: 239,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,725.89 : 772,190.91 = 159,724.76 : x
  2. Step 2: Convert to fraction form
    514,725.89/772,190.91 = 159,724.76/x
  3. Step 3: Cross multiply
    514,725.89x = 772,190.91 × 159,724.76
  4. Step 4: Simplify right side
    514,725.89x = 123,338,003,912.98
  5. Step 5: Solve for x
    x = 123,338,003,912.98/514,725.89
  6. Step 6: Final answer
    x = 239,618.81

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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.