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Finding the Fourth Proportional to 277,394.22, 415,841.56 and 99,776.38

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Solution

The fourth proportional to 277,394.22, 415,841.56 and 99,776.38 is: 149,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,394.22 : 415,841.56 = 99,776.38 : x
  2. Step 2: Convert to fraction form
    277,394.22/415,841.56 = 99,776.38/x
  3. Step 3: Cross multiply
    277,394.22x = 415,841.56 × 99,776.38
  4. Step 4: Simplify right side
    277,394.22x = 41,491,165,510.35
  5. Step 5: Solve for x
    x = 41,491,165,510.35/277,394.22
  6. Step 6: Final answer
    x = 149,574.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.