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Finding the Fourth Proportional to 408,038.42, 563,057.16 and 226,738.86

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Solution

The fourth proportional to 408,038.42, 563,057.16 and 226,738.86 is: 312,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,038.42 : 563,057.16 = 226,738.86 : x
  2. Step 2: Convert to fraction form
    408,038.42/563,057.16 = 226,738.86/x
  3. Step 3: Cross multiply
    408,038.42x = 563,057.16 × 226,738.86
  4. Step 4: Simplify right side
    408,038.42x = 127,666,938,573.24
  5. Step 5: Solve for x
    x = 127,666,938,573.24/408,038.42
  6. Step 6: Final answer
    x = 312,879.70

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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.