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Finding the Fourth Proportional to 468,164, 701,950.75 and 257,949.56

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Solution

The fourth proportional to 468,164, 701,950.75 and 257,949.56 is: 386,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,164 : 701,950.75 = 257,949.56 : x
  2. Step 2: Convert to fraction form
    468,164/701,950.75 = 257,949.56/x
  3. Step 3: Cross multiply
    468,164x = 701,950.75 × 257,949.56
  4. Step 4: Simplify right side
    468,164x = 181,067,887,104.17
  5. Step 5: Solve for x
    x = 181,067,887,104.17/468,164
  6. Step 6: Final answer
    x = 386,761.66

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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.