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Finding the Fourth Proportional to 362,005.38, 499,787.46 and 281,280.60

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Solution

The fourth proportional to 362,005.38, 499,787.46 and 281,280.60 is: 388,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,005.38 : 499,787.46 = 281,280.60 : x
  2. Step 2: Convert to fraction form
    362,005.38/499,787.46 = 281,280.60/x
  3. Step 3: Cross multiply
    362,005.38x = 499,787.46 × 281,280.60
  4. Step 4: Simplify right side
    362,005.38x = 140,580,516,621.28
  5. Step 5: Solve for x
    x = 140,580,516,621.28/362,005.38
  6. Step 6: Final answer
    x = 388,338.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.