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Finding the Fourth Proportional to 514,901.20, 772,409.40 and 159,912.40

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Solution

The fourth proportional to 514,901.20, 772,409.40 and 159,912.40 is: 239,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,901.20 : 772,409.40 = 159,912.40 : x
  2. Step 2: Convert to fraction form
    514,901.20/772,409.40 = 159,912.40/x
  3. Step 3: Cross multiply
    514,901.20x = 772,409.40 × 159,912.40
  4. Step 4: Simplify right side
    514,901.20x = 123,517,840,936.56
  5. Step 5: Solve for x
    x = 123,517,840,936.56/514,901.20
  6. Step 6: Final answer
    x = 239,886.49

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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.