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Finding the Fourth Proportional to 277,553.92, 416,719.68 and 172,053.76

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Solution

The fourth proportional to 277,553.92, 416,719.68 and 172,053.76 is: 258,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,553.92 : 416,719.68 = 172,053.76 : x
  2. Step 2: Convert to fraction form
    277,553.92/416,719.68 = 172,053.76/x
  3. Step 3: Cross multiply
    277,553.92x = 416,719.68 × 172,053.76
  4. Step 4: Simplify right side
    277,553.92x = 71,698,187,810.00
  5. Step 5: Solve for x
    x = 71,698,187,810.00/277,553.92
  6. Step 6: Final answer
    x = 258,321.65

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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.