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Finding the Fourth Proportional to 362,427.84, 543,426.42 and 137,804.70

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Solution

The fourth proportional to 362,427.84, 543,426.42 and 137,804.70 is: 206,625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,427.84 : 543,426.42 = 137,804.70 : x
  2. Step 2: Convert to fraction form
    362,427.84/543,426.42 = 137,804.70/x
  3. Step 3: Cross multiply
    362,427.84x = 543,426.42 × 137,804.70
  4. Step 4: Simplify right side
    362,427.84x = 74,886,714,780.17
  5. Step 5: Solve for x
    x = 74,886,714,780.17/362,427.84
  6. Step 6: Final answer
    x = 206,625.17

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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.