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Finding the Fourth Proportional to 412,811.78, 569,684.94 and 229,053.66

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Solution

The fourth proportional to 412,811.78, 569,684.94 and 229,053.66 is: 316,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,811.78 : 569,684.94 = 229,053.66 : x
  2. Step 2: Convert to fraction form
    412,811.78/569,684.94 = 229,053.66/x
  3. Step 3: Cross multiply
    412,811.78x = 569,684.94 × 229,053.66
  4. Step 4: Simplify right side
    412,811.78x = 130,488,420,553.88
  5. Step 5: Solve for x
    x = 130,488,420,553.88/412,811.78
  6. Step 6: Final answer
    x = 316,096.65

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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.