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Finding the Fourth Proportional to 429,825.51, 593,147.43 and 238,833.99

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Solution

The fourth proportional to 429,825.51, 593,147.43 and 238,833.99 is: 329,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,825.51 : 593,147.43 = 238,833.99 : x
  2. Step 2: Convert to fraction form
    429,825.51/593,147.43 = 238,833.99/x
  3. Step 3: Cross multiply
    429,825.51x = 593,147.43 × 238,833.99
  4. Step 4: Simplify right side
    429,825.51x = 141,663,767,365.15
  5. Step 5: Solve for x
    x = 141,663,767,365.15/429,825.51
  6. Step 6: Final answer
    x = 329,584.36

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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.