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Finding the Fourth Proportional to 631,564.75, 871,565.46 and 345,084.82

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Solution

The fourth proportional to 631,564.75, 871,565.46 and 345,084.82 is: 476,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,564.75 : 871,565.46 = 345,084.82 : x
  2. Step 2: Convert to fraction form
    631,564.75/871,565.46 = 345,084.82/x
  3. Step 3: Cross multiply
    631,564.75x = 871,565.46 × 345,084.82
  4. Step 4: Simplify right side
    631,564.75x = 300,764,005,524.49
  5. Step 5: Solve for x
    x = 300,764,005,524.49/631,564.75
  6. Step 6: Final answer
    x = 476,220.38

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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.