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Finding the Fourth Proportional to 390,212.40, 538,561.64 and 226,919.50

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Solution

The fourth proportional to 390,212.40, 538,561.64 and 226,919.50 is: 313,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,212.40 : 538,561.64 = 226,919.50 : x
  2. Step 2: Convert to fraction form
    390,212.40/538,561.64 = 226,919.50/x
  3. Step 3: Cross multiply
    390,212.40x = 538,561.64 × 226,919.50
  4. Step 4: Simplify right side
    390,212.40x = 122,210,138,067.98
  5. Step 5: Solve for x
    x = 122,210,138,067.98/390,212.40
  6. Step 6: Final answer
    x = 313,188.76

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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.