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Finding the Fourth Proportional to 408,204.43, 563,597 and 365,050.06

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Solution

The fourth proportional to 408,204.43, 563,597 and 365,050.06 is: 504,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,204.43 : 563,597 = 365,050.06 : x
  2. Step 2: Convert to fraction form
    408,204.43/563,597 = 365,050.06/x
  3. Step 3: Cross multiply
    408,204.43x = 563,597 × 365,050.06
  4. Step 4: Simplify right side
    408,204.43x = 205,741,118,665.82
  5. Step 5: Solve for x
    x = 205,741,118,665.82/408,204.43
  6. Step 6: Final answer
    x = 504,014.91

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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.