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Finding the Fourth Proportional to 259,434, 389,151.12 and 62,442

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Solution

The fourth proportional to 259,434, 389,151.12 and 62,442 is: 93,663.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,434 : 389,151.12 = 62,442 : x
  2. Step 2: Convert to fraction form
    259,434/389,151.12 = 62,442/x
  3. Step 3: Cross multiply
    259,434x = 389,151.12 × 62,442
  4. Step 4: Simplify right side
    259,434x = 24,299,374,235.04
  5. Step 5: Solve for x
    x = 24,299,374,235.04/259,434
  6. Step 6: Final answer
    x = 93,663.03

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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.