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Finding the Fourth Proportional to 569,537.75, 785,933.24 and 314,839.73

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Solution

The fourth proportional to 569,537.75, 785,933.24 and 314,839.73 is: 434,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,537.75 : 785,933.24 = 314,839.73 : x
  2. Step 2: Convert to fraction form
    569,537.75/785,933.24 = 314,839.73/x
  3. Step 3: Cross multiply
    569,537.75x = 785,933.24 × 314,839.73
  4. Step 4: Simplify right side
    569,537.75x = 247,443,009,470.26
  5. Step 5: Solve for x
    x = 247,443,009,470.26/569,537.75
  6. Step 6: Final answer
    x = 434,462.88

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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.