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Finding the Fourth Proportional to 408,989.22, 564,417.72 and 222,733.14

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Solution

The fourth proportional to 408,989.22, 564,417.72 and 222,733.14 is: 307,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,989.22 : 564,417.72 = 222,733.14 : x
  2. Step 2: Convert to fraction form
    408,989.22/564,417.72 = 222,733.14/x
  3. Step 3: Cross multiply
    408,989.22x = 564,417.72 × 222,733.14
  4. Step 4: Simplify right side
    408,989.22x = 125,714,531,047.24
  5. Step 5: Solve for x
    x = 125,714,531,047.24/408,989.22
  6. Step 6: Final answer
    x = 307,378.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.