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Finding the Fourth Proportional to 394,943.84, 592,440.37 and 158,255.76

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Solution

The fourth proportional to 394,943.84, 592,440.37 and 158,255.76 is: 237,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,943.84 : 592,440.37 = 158,255.76 : x
  2. Step 2: Convert to fraction form
    394,943.84/592,440.37 = 158,255.76/x
  3. Step 3: Cross multiply
    394,943.84x = 592,440.37 × 158,255.76
  4. Step 4: Simplify right side
    394,943.84x = 93,757,101,009.03
  5. Step 5: Solve for x
    x = 93,757,101,009.03/394,943.84
  6. Step 6: Final answer
    x = 237,393.50

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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.