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Finding the Fourth Proportional to 466,895.31, 644,306.76 and 285,593.94

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Solution

The fourth proportional to 466,895.31, 644,306.76 and 285,593.94 is: 394,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,895.31 : 644,306.76 = 285,593.94 : x
  2. Step 2: Convert to fraction form
    466,895.31/644,306.76 = 285,593.94/x
  3. Step 3: Cross multiply
    466,895.31x = 644,306.76 × 285,593.94
  4. Step 4: Simplify right side
    466,895.31x = 184,010,106,157.03
  5. Step 5: Solve for x
    x = 184,010,106,157.03/466,895.31
  6. Step 6: Final answer
    x = 394,114.27

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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.