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Finding the Fourth Proportional to 429,857.86, 593,199.57 and 238,867.24

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Solution

The fourth proportional to 429,857.86, 593,199.57 and 238,867.24 is: 329,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,857.86 : 593,199.57 = 238,867.24 : x
  2. Step 2: Convert to fraction form
    429,857.86/593,199.57 = 238,867.24/x
  3. Step 3: Cross multiply
    429,857.86x = 593,199.57 × 238,867.24
  4. Step 4: Simplify right side
    429,857.86x = 141,695,944,055.09
  5. Step 5: Solve for x
    x = 141,695,944,055.09/429,857.86
  6. Step 6: Final answer
    x = 329,634.41

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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.