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Finding the Fourth Proportional to 299,475.27, 413,126.72 and 178,531.33

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Solution

The fourth proportional to 299,475.27, 413,126.72 and 178,531.33 is: 246,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,475.27 : 413,126.72 = 178,531.33 : x
  2. Step 2: Convert to fraction form
    299,475.27/413,126.72 = 178,531.33/x
  3. Step 3: Cross multiply
    299,475.27x = 413,126.72 × 178,531.33
  4. Step 4: Simplify right side
    299,475.27x = 73,756,062,780.14
  5. Step 5: Solve for x
    x = 73,756,062,780.14/299,475.27
  6. Step 6: Final answer
    x = 246,284.32

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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.