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Finding the Fourth Proportional to 232,896, 349,344 and 57,792

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Solution

The fourth proportional to 232,896, 349,344 and 57,792 is: 86,688

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,896 : 349,344 = 57,792 : x
  2. Step 2: Convert to fraction form
    232,896/349,344 = 57,792/x
  3. Step 3: Cross multiply
    232,896x = 349,344 × 57,792
  4. Step 4: Simplify right side
    232,896x = 20,189,288,448
  5. Step 5: Solve for x
    x = 20,189,288,448/232,896
  6. Step 6: Final answer
    x = 86,688

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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.