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Finding the Fourth Proportional to 466,914.38, 644,365.79 and 285,569.34

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Solution

The fourth proportional to 466,914.38, 644,365.79 and 285,569.34 is: 394,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,914.38 : 644,365.79 = 285,569.34 : x
  2. Step 2: Convert to fraction form
    466,914.38/644,365.79 = 285,569.34/x
  3. Step 3: Cross multiply
    466,914.38x = 644,365.79 × 285,569.34
  4. Step 4: Simplify right side
    466,914.38x = 184,011,111,941.03
  5. Step 5: Solve for x
    x = 184,011,111,941.03/466,914.38
  6. Step 6: Final answer
    x = 394,100.34

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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.