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Finding the Fourth Proportional to 349,691.58, 523,651.64 and 216,831.33

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Solution

The fourth proportional to 349,691.58, 523,651.64 and 216,831.33 is: 324,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,691.58 : 523,651.64 = 216,831.33 : x
  2. Step 2: Convert to fraction form
    349,691.58/523,651.64 = 216,831.33/x
  3. Step 3: Cross multiply
    349,691.58x = 523,651.64 × 216,831.33
  4. Step 4: Simplify right side
    349,691.58x = 113,544,080,473.73
  5. Step 5: Solve for x
    x = 113,544,080,473.73/349,691.58
  6. Step 6: Final answer
    x = 324,697.78

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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.