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Finding the Fourth Proportional to 412,448.13, 569,177.65 and 231,160.01

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Solution

The fourth proportional to 412,448.13, 569,177.65 and 231,160.01 is: 319,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,448.13 : 569,177.65 = 231,160.01 : x
  2. Step 2: Convert to fraction form
    412,448.13/569,177.65 = 231,160.01/x
  3. Step 3: Cross multiply
    412,448.13x = 569,177.65 × 231,160.01
  4. Step 4: Simplify right side
    412,448.13x = 131,571,108,708.84
  5. Step 5: Solve for x
    x = 131,571,108,708.84/412,448.13
  6. Step 6: Final answer
    x = 319,000.38

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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.