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Finding the Fourth Proportional to 408,943.49, 564,297.64 and 227,641.19

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Solution

The fourth proportional to 408,943.49, 564,297.64 and 227,641.19 is: 314,120.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,943.49 : 564,297.64 = 227,641.19 : x
  2. Step 2: Convert to fraction form
    408,943.49/564,297.64 = 227,641.19/x
  3. Step 3: Cross multiply
    408,943.49x = 564,297.64 × 227,641.19
  4. Step 4: Simplify right side
    408,943.49x = 128,457,382,893.20
  5. Step 5: Solve for x
    x = 128,457,382,893.20/408,943.49
  6. Step 6: Final answer
    x = 314,120.14

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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.