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Finding the Fourth Proportional to 386,035.47, 532,761.30 and 213,995.52

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Solution

The fourth proportional to 386,035.47, 532,761.30 and 213,995.52 is: 295,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,035.47 : 532,761.30 = 213,995.52 : x
  2. Step 2: Convert to fraction form
    386,035.47/532,761.30 = 213,995.52/x
  3. Step 3: Cross multiply
    386,035.47x = 532,761.30 × 213,995.52
  4. Step 4: Simplify right side
    386,035.47x = 114,008,531,429.38
  5. Step 5: Solve for x
    x = 114,008,531,429.38/386,035.47
  6. Step 6: Final answer
    x = 295,331.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.