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Finding the Fourth Proportional to 408,115.86, 563,209.46 and 226,835.43

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Solution

The fourth proportional to 408,115.86, 563,209.46 and 226,835.43 is: 313,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,115.86 : 563,209.46 = 226,835.43 : x
  2. Step 2: Convert to fraction form
    408,115.86/563,209.46 = 226,835.43/x
  3. Step 3: Cross multiply
    408,115.86x = 563,209.46 × 226,835.43
  4. Step 4: Simplify right side
    408,115.86x = 127,755,860,039.17
  5. Step 5: Solve for x
    x = 127,755,860,039.17/408,115.86
  6. Step 6: Final answer
    x = 313,038.21

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1.5x scale

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.