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Finding the Fourth Proportional to 362,155.36, 499,766.88 and 201,000.96

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Solution

The fourth proportional to 362,155.36, 499,766.88 and 201,000.96 is: 277,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,155.36 : 499,766.88 = 201,000.96 : x
  2. Step 2: Convert to fraction form
    362,155.36/499,766.88 = 201,000.96/x
  3. Step 3: Cross multiply
    362,155.36x = 499,766.88 × 201,000.96
  4. Step 4: Simplify right side
    362,155.36x = 100,453,622,656.21
  5. Step 5: Solve for x
    x = 100,453,622,656.21/362,155.36
  6. Step 6: Final answer
    x = 277,377.15

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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.