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Finding the Fourth Proportional to 299,412.53, 413,134.01 and 170,343.47

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Solution

The fourth proportional to 299,412.53, 413,134.01 and 170,343.47 is: 235,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,412.53 : 413,134.01 = 170,343.47 : x
  2. Step 2: Convert to fraction form
    299,412.53/413,134.01 = 170,343.47/x
  3. Step 3: Cross multiply
    299,412.53x = 413,134.01 × 170,343.47
  4. Step 4: Simplify right side
    299,412.53x = 70,374,680,838.41
  5. Step 5: Solve for x
    x = 70,374,680,838.41/299,412.53
  6. Step 6: Final answer
    x = 235,042.54

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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.