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Finding the Fourth Proportional to 569,441, 785,760.36 and 314,757.56

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Solution

The fourth proportional to 569,441, 785,760.36 and 314,757.56 is: 434,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,441 : 785,760.36 = 314,757.56 : x
  2. Step 2: Convert to fraction form
    569,441/785,760.36 = 314,757.56/x
  3. Step 3: Cross multiply
    569,441x = 785,760.36 × 314,757.56
  4. Step 4: Simplify right side
    569,441x = 247,324,013,658.32
  5. Step 5: Solve for x
    x = 247,324,013,658.32/569,441
  6. Step 6: Final answer
    x = 434,327.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.