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Finding the Fourth Proportional to 415,796.49, 573,551.42 and 262,564.34

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Solution

The fourth proportional to 415,796.49, 573,551.42 and 262,564.34 is: 362,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,796.49 : 573,551.42 = 262,564.34 : x
  2. Step 2: Convert to fraction form
    415,796.49/573,551.42 = 262,564.34/x
  3. Step 3: Cross multiply
    415,796.49x = 573,551.42 × 262,564.34
  4. Step 4: Simplify right side
    415,796.49x = 150,594,145,867.78
  5. Step 5: Solve for x
    x = 150,594,145,867.78/415,796.49
  6. Step 6: Final answer
    x = 362,182.34

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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.