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Finding the Fourth Proportional to 299,592.74, 413,440.74 and 170,524.88

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Solution

The fourth proportional to 299,592.74, 413,440.74 and 170,524.88 is: 235,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,592.74 : 413,440.74 = 170,524.88 : x
  2. Step 2: Convert to fraction form
    299,592.74/413,440.74 = 170,524.88/x
  3. Step 3: Cross multiply
    299,592.74x = 413,440.74 × 170,524.88
  4. Step 4: Simplify right side
    299,592.74x = 70,501,932,575.61
  5. Step 5: Solve for x
    x = 70,501,932,575.61/299,592.74
  6. Step 6: Final answer
    x = 235,325.90

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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.