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Finding the Fourth Proportional to 300,752.70, 415,034.19 and 164,786.10

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Solution

The fourth proportional to 300,752.70, 415,034.19 and 164,786.10 is: 227,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,752.70 : 415,034.19 = 164,786.10 : x
  2. Step 2: Convert to fraction form
    300,752.70/415,034.19 = 164,786.10/x
  3. Step 3: Cross multiply
    300,752.70x = 415,034.19 × 164,786.10
  4. Step 4: Simplify right side
    300,752.70x = 68,391,865,536.76
  5. Step 5: Solve for x
    x = 68,391,865,536.76/300,752.70
  6. Step 6: Final answer
    x = 227,402.33

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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.