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Finding the Fourth Proportional to 408,238.71, 563,388.65 and 226,953.66

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Solution

The fourth proportional to 408,238.71, 563,388.65 and 226,953.66 is: 313,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,238.71 : 563,388.65 = 226,953.66 : x
  2. Step 2: Convert to fraction form
    408,238.71/563,388.65 = 226,953.66/x
  3. Step 3: Cross multiply
    408,238.71x = 563,388.65 × 226,953.66
  4. Step 4: Simplify right side
    408,238.71x = 127,863,114,985.19
  5. Step 5: Solve for x
    x = 127,863,114,985.19/408,238.71
  6. Step 6: Final answer
    x = 313,206.74

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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.