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Finding the Fourth Proportional to 299,482.29, 413,136.36 and 178,538.36

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Solution

The fourth proportional to 299,482.29, 413,136.36 and 178,538.36 is: 246,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,482.29 : 413,136.36 = 178,538.36 : x
  2. Step 2: Convert to fraction form
    299,482.29/413,136.36 = 178,538.36/x
  3. Step 3: Cross multiply
    299,482.29x = 413,136.36 × 178,538.36
  4. Step 4: Simplify right side
    299,482.29x = 73,760,686,105.09
  5. Step 5: Solve for x
    x = 73,760,686,105.09/299,482.29
  6. Step 6: Final answer
    x = 246,293.98

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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.