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Finding the Fourth Proportional to 232,708, 349,062 and 74,952.40

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Solution

The fourth proportional to 232,708, 349,062 and 74,952.40 is: 112,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,708 : 349,062 = 74,952.40 : x
  2. Step 2: Convert to fraction form
    232,708/349,062 = 74,952.40/x
  3. Step 3: Cross multiply
    232,708x = 349,062 × 74,952.40
  4. Step 4: Simplify right side
    232,708x = 26,163,034,648.80
  5. Step 5: Solve for x
    x = 26,163,034,648.80/232,708
  6. Step 6: Final answer
    x = 112,428.60

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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.