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Finding the Fourth Proportional to 409,216.41, 564,747 and 248,078.25

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Solution

The fourth proportional to 409,216.41, 564,747 and 248,078.25 is: 342,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,216.41 : 564,747 = 248,078.25 : x
  2. Step 2: Convert to fraction form
    409,216.41/564,747 = 248,078.25/x
  3. Step 3: Cross multiply
    409,216.41x = 564,747 × 248,078.25
  4. Step 4: Simplify right side
    409,216.41x = 140,101,447,452.75
  5. Step 5: Solve for x
    x = 140,101,447,452.75/409,216.41
  6. Step 6: Final answer
    x = 342,365.17

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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.