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Finding the Fourth Proportional to 277,229.32, 415,632.54 and 229,698.52

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Solution

The fourth proportional to 277,229.32, 415,632.54 and 229,698.52 is: 344,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,229.32 : 415,632.54 = 229,698.52 : x
  2. Step 2: Convert to fraction form
    277,229.32/415,632.54 = 229,698.52/x
  3. Step 3: Cross multiply
    277,229.32x = 415,632.54 × 229,698.52
  4. Step 4: Simplify right side
    277,229.32x = 95,470,179,301.84
  5. Step 5: Solve for x
    x = 95,470,179,301.84/277,229.32
  6. Step 6: Final answer
    x = 344,372.59

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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.