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Finding the Fourth Proportional to 361,778, 499,253.64 and 200,657.72

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Solution

The fourth proportional to 361,778, 499,253.64 and 200,657.72 is: 276,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,778 : 499,253.64 = 200,657.72 : x
  2. Step 2: Convert to fraction form
    361,778/499,253.64 = 200,657.72/x
  3. Step 3: Cross multiply
    361,778x = 499,253.64 × 200,657.72
  4. Step 4: Simplify right side
    361,778x = 100,179,097,104.10
  5. Step 5: Solve for x
    x = 100,179,097,104.10/361,778
  6. Step 6: Final answer
    x = 276,907.65

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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.