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Finding the Fourth Proportional to 419,813.47, 579,342.74 and 238,525.63

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Solution

The fourth proportional to 419,813.47, 579,342.74 and 238,525.63 is: 329,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,813.47 : 579,342.74 = 238,525.63 : x
  2. Step 2: Convert to fraction form
    419,813.47/579,342.74 = 238,525.63/x
  3. Step 3: Cross multiply
    419,813.47x = 579,342.74 × 238,525.63
  4. Step 4: Simplify right side
    419,813.47x = 138,188,092,044.43
  5. Step 5: Solve for x
    x = 138,188,092,044.43/419,813.47
  6. Step 6: Final answer
    x = 329,165.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.