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Finding the Fourth Proportional to 277,300.26, 415,698.48 and 144,024.48

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Solution

The fourth proportional to 277,300.26, 415,698.48 and 144,024.48 is: 215,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,300.26 : 415,698.48 = 144,024.48 : x
  2. Step 2: Convert to fraction form
    277,300.26/415,698.48 = 144,024.48/x
  3. Step 3: Cross multiply
    277,300.26x = 415,698.48 × 144,024.48
  4. Step 4: Simplify right side
    277,300.26x = 59,870,757,418.79
  5. Step 5: Solve for x
    x = 59,870,757,418.79/277,300.26
  6. Step 6: Final answer
    x = 215,905.88

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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.