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Finding the Fourth Proportional to 408,006.15, 563,037.26 and 226,713.39

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Solution

The fourth proportional to 408,006.15, 563,037.26 and 226,713.39 is: 312,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,006.15 : 563,037.26 = 226,713.39 : x
  2. Step 2: Convert to fraction form
    408,006.15/563,037.26 = 226,713.39/x
  3. Step 3: Cross multiply
    408,006.15x = 563,037.26 × 226,713.39
  4. Step 4: Simplify right side
    408,006.15x = 127,648,084,777.34
  5. Step 5: Solve for x
    x = 127,648,084,777.34/408,006.15
  6. Step 6: Final answer
    x = 312,858.24

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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.