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Finding the Fourth Proportional to 361,924.38, 499,432.14 and 200,779.02

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Solution

The fourth proportional to 361,924.38, 499,432.14 and 200,779.02 is: 277,062.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,924.38 : 499,432.14 = 200,779.02 : x
  2. Step 2: Convert to fraction form
    361,924.38/499,432.14 = 200,779.02/x
  3. Step 3: Cross multiply
    361,924.38x = 499,432.14 × 200,779.02
  4. Step 4: Simplify right side
    361,924.38x = 100,275,495,625.70
  5. Step 5: Solve for x
    x = 100,275,495,625.70/361,924.38
  6. Step 6: Final answer
    x = 277,062.01

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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.