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Finding the Fourth Proportional to 408,045.64, 563,106.09 and 226,774.57

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Solution

The fourth proportional to 408,045.64, 563,106.09 and 226,774.57 is: 312,950.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045.64 : 563,106.09 = 226,774.57 : x
  2. Step 2: Convert to fraction form
    408,045.64/563,106.09 = 226,774.57/x
  3. Step 3: Cross multiply
    408,045.64x = 563,106.09 × 226,774.57
  4. Step 4: Simplify right side
    408,045.64x = 127,698,141,424.13
  5. Step 5: Solve for x
    x = 127,698,141,424.13/408,045.64
  6. Step 6: Final answer
    x = 312,950.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.