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Finding the Fourth Proportional to 408,237.96, 563,643.30 and 365,083.56

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Solution

The fourth proportional to 408,237.96, 563,643.30 and 365,083.56 is: 504,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,237.96 : 563,643.30 = 365,083.56 : x
  2. Step 2: Convert to fraction form
    408,237.96/563,643.30 = 365,083.56/x
  3. Step 3: Cross multiply
    408,237.96x = 563,643.30 × 365,083.56
  4. Step 4: Simplify right side
    408,237.96x = 205,776,902,534.15
  5. Step 5: Solve for x
    x = 205,776,902,534.15/408,237.96
  6. Step 6: Final answer
    x = 504,061.17

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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.