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Finding the Fourth Proportional to 394,955.40, 592,419.78 and 158,234.52

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Solution

The fourth proportional to 394,955.40, 592,419.78 and 158,234.52 is: 237,346.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,955.40 : 592,419.78 = 158,234.52 : x
  2. Step 2: Convert to fraction form
    394,955.40/592,419.78 = 158,234.52/x
  3. Step 3: Cross multiply
    394,955.40x = 592,419.78 × 158,234.52
  4. Step 4: Simplify right side
    394,955.40x = 93,741,259,526.81
  5. Step 5: Solve for x
    x = 93,741,259,526.81/394,955.40
  6. Step 6: Final answer
    x = 237,346.44

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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.