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Finding the Fourth Proportional to 362,449.40, 543,374.76 and 159,901.16

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Solution

The fourth proportional to 362,449.40, 543,374.76 and 159,901.16 is: 239,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,449.40 : 543,374.76 = 159,901.16 : x
  2. Step 2: Convert to fraction form
    362,449.40/543,374.76 = 159,901.16/x
  3. Step 3: Cross multiply
    362,449.40x = 543,374.76 × 159,901.16
  4. Step 4: Simplify right side
    362,449.40x = 86,886,254,438.72
  5. Step 5: Solve for x
    x = 86,886,254,438.72/362,449.40
  6. Step 6: Final answer
    x = 239,719.68

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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.