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Finding the Fourth Proportional to 408,824, 564,185.76 and 229,976

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Solution

The fourth proportional to 408,824, 564,185.76 and 229,976 is: 317,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,824 : 564,185.76 = 229,976 : x
  2. Step 2: Convert to fraction form
    408,824/564,185.76 = 229,976/x
  3. Step 3: Cross multiply
    408,824x = 564,185.76 × 229,976
  4. Step 4: Simplify right side
    408,824x = 129,749,184,341.76
  5. Step 5: Solve for x
    x = 129,749,184,341.76/408,824
  6. Step 6: Final answer
    x = 317,371.74

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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.