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Finding the Fourth Proportional to 429,857.94, 593,176.74 and 238,859.94

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Solution

The fourth proportional to 429,857.94, 593,176.74 and 238,859.94 is: 329,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,857.94 : 593,176.74 = 238,859.94 : x
  2. Step 2: Convert to fraction form
    429,857.94/593,176.74 = 238,859.94/x
  3. Step 3: Cross multiply
    429,857.94x = 593,176.74 × 238,859.94
  4. Step 4: Simplify right side
    429,857.94x = 141,686,160,525.80
  5. Step 5: Solve for x
    x = 141,686,160,525.80/429,857.94
  6. Step 6: Final answer
    x = 329,611.59

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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.