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Finding the Fourth Proportional to 387,041.94, 580,787.22 and 162,382.50

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Solution

The fourth proportional to 387,041.94, 580,787.22 and 162,382.50 is: 243,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,041.94 : 580,787.22 = 162,382.50 : x
  2. Step 2: Convert to fraction form
    387,041.94/580,787.22 = 162,382.50/x
  3. Step 3: Cross multiply
    387,041.94x = 580,787.22 × 162,382.50
  4. Step 4: Simplify right side
    387,041.94x = 94,309,680,751.65
  5. Step 5: Solve for x
    x = 94,309,680,751.65/387,041.94
  6. Step 6: Final answer
    x = 243,667.86

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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.