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Finding the Fourth Proportional to 408,093.12, 563,166 and 226,802.16

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Solution

The fourth proportional to 408,093.12, 563,166 and 226,802.16 is: 312,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,093.12 : 563,166 = 226,802.16 : x
  2. Step 2: Convert to fraction form
    408,093.12/563,166 = 226,802.16/x
  3. Step 3: Cross multiply
    408,093.12x = 563,166 × 226,802.16
  4. Step 4: Simplify right side
    408,093.12x = 127,727,265,238.56
  5. Step 5: Solve for x
    x = 127,727,265,238.56/408,093.12
  6. Step 6: Final answer
    x = 312,985.59

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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.