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Finding the Fourth Proportional to 362,180.12, 499,755.30 and 201,036.38

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Solution

The fourth proportional to 362,180.12, 499,755.30 and 201,036.38 is: 277,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,180.12 : 499,755.30 = 201,036.38 : x
  2. Step 2: Convert to fraction form
    362,180.12/499,755.30 = 201,036.38/x
  3. Step 3: Cross multiply
    362,180.12x = 499,755.30 × 201,036.38
  4. Step 4: Simplify right side
    362,180.12x = 100,468,996,397.81
  5. Step 5: Solve for x
    x = 100,468,996,397.81/362,180.12
  6. Step 6: Final answer
    x = 277,400.64

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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.