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Finding the Fourth Proportional to 408,270.46, 563,363.98 and 226,959.16

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Solution

The fourth proportional to 408,270.46, 563,363.98 and 226,959.16 is: 313,176.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,270.46 : 563,363.98 = 226,959.16 : x
  2. Step 2: Convert to fraction form
    408,270.46/563,363.98 = 226,959.16/x
  3. Step 3: Cross multiply
    408,270.46x = 563,363.98 × 226,959.16
  4. Step 4: Simplify right side
    408,270.46x = 127,860,615,675.06
  5. Step 5: Solve for x
    x = 127,860,615,675.06/408,270.46
  6. Step 6: Final answer
    x = 313,176.26

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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.