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Finding the Fourth Proportional to 232,938, 349,407 and 57,834

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Solution

The fourth proportional to 232,938, 349,407 and 57,834 is: 86,751

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,938 : 349,407 = 57,834 : x
  2. Step 2: Convert to fraction form
    232,938/349,407 = 57,834/x
  3. Step 3: Cross multiply
    232,938x = 349,407 × 57,834
  4. Step 4: Simplify right side
    232,938x = 20,207,604,438
  5. Step 5: Solve for x
    x = 20,207,604,438/232,938
  6. Step 6: Final answer
    x = 86,751

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.