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Finding the Fourth Proportional to 429,824.88, 593,172.72 and 238,846.32

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Solution

The fourth proportional to 429,824.88, 593,172.72 and 238,846.32 is: 329,615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,824.88 : 593,172.72 = 238,846.32 : x
  2. Step 2: Convert to fraction form
    429,824.88/593,172.72 = 238,846.32/x
  3. Step 3: Cross multiply
    429,824.88x = 593,172.72 × 238,846.32
  4. Step 4: Simplify right side
    429,824.88x = 141,677,121,296.39
  5. Step 5: Solve for x
    x = 141,677,121,296.39/429,824.88
  6. Step 6: Final answer
    x = 329,615.92

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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.