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Finding the Fourth Proportional to 393,928.96, 590,894.40 and 157,290.88

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Solution

The fourth proportional to 393,928.96, 590,894.40 and 157,290.88 is: 235,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,928.96 : 590,894.40 = 157,290.88 : x
  2. Step 2: Convert to fraction form
    393,928.96/590,894.40 = 157,290.88/x
  3. Step 3: Cross multiply
    393,928.96x = 590,894.40 × 157,290.88
  4. Step 4: Simplify right side
    393,928.96x = 92,942,300,163.07
  5. Step 5: Solve for x
    x = 92,942,300,163.07/393,928.96
  6. Step 6: Final answer
    x = 235,936.70

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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.