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Finding the Fourth Proportional to 362,148.46, 499,788.24 and 201,003.52

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Solution

The fourth proportional to 362,148.46, 499,788.24 and 201,003.52 is: 277,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,148.46 : 499,788.24 = 201,003.52 : x
  2. Step 2: Convert to fraction form
    362,148.46/499,788.24 = 201,003.52/x
  3. Step 3: Cross multiply
    362,148.46x = 499,788.24 × 201,003.52
  4. Step 4: Simplify right side
    362,148.46x = 100,459,195,494.61
  5. Step 5: Solve for x
    x = 100,459,195,494.61/362,148.46
  6. Step 6: Final answer
    x = 277,397.83

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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.