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Finding the Fourth Proportional to 412,510.66, 569,291.02 and 231,222.64

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Solution

The fourth proportional to 412,510.66, 569,291.02 and 231,222.64 is: 319,101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,510.66 : 569,291.02 = 231,222.64 : x
  2. Step 2: Convert to fraction form
    412,510.66/569,291.02 = 231,222.64/x
  3. Step 3: Cross multiply
    412,510.66x = 569,291.02 × 231,222.64
  4. Step 4: Simplify right side
    412,510.66x = 131,632,972,572.69
  5. Step 5: Solve for x
    x = 131,632,972,572.69/412,510.66
  6. Step 6: Final answer
    x = 319,101.99

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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.