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Finding the Fourth Proportional to 408,036.42, 563,054.40 and 226,736.86

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Solution

The fourth proportional to 408,036.42, 563,054.40 and 226,736.86 is: 312,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,036.42 : 563,054.40 = 226,736.86 : x
  2. Step 2: Convert to fraction form
    408,036.42/563,054.40 = 226,736.86/x
  3. Step 3: Cross multiply
    408,036.42x = 563,054.40 × 226,736.86
  4. Step 4: Simplify right side
    408,036.42x = 127,665,186,665.18
  5. Step 5: Solve for x
    x = 127,665,186,665.18/408,036.42
  6. Step 6: Final answer
    x = 312,876.94

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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.