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Finding the Fourth Proportional to 408,263.52, 563,371.65 and 226,964.42

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Solution

The fourth proportional to 408,263.52, 563,371.65 and 226,964.42 is: 313,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,263.52 : 563,371.65 = 226,964.42 : x
  2. Step 2: Convert to fraction form
    408,263.52/563,371.65 = 226,964.42/x
  3. Step 3: Cross multiply
    408,263.52x = 563,371.65 × 226,964.42
  4. Step 4: Simplify right side
    408,263.52x = 127,865,316,969.84
  5. Step 5: Solve for x
    x = 127,865,316,969.84/408,263.52
  6. Step 6: Final answer
    x = 313,193.10

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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.