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Finding the Fourth Proportional to 412,868.80, 569,756.56 and 229,105.52

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Solution

The fourth proportional to 412,868.80, 569,756.56 and 229,105.52 is: 316,164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,868.80 : 569,756.56 = 229,105.52 : x
  2. Step 2: Convert to fraction form
    412,868.80/569,756.56 = 229,105.52/x
  3. Step 3: Cross multiply
    412,868.80x = 569,756.56 × 229,105.52
  4. Step 4: Simplify right side
    412,868.80x = 130,534,372,952.21
  5. Step 5: Solve for x
    x = 130,534,372,952.21/412,868.80
  6. Step 6: Final answer
    x = 316,164.29

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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.