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Finding the Fourth Proportional to 299,005.08, 412,727 and 178,184.28

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Solution

The fourth proportional to 299,005.08, 412,727 and 178,184.28 is: 245,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,005.08 : 412,727 = 178,184.28 : x
  2. Step 2: Convert to fraction form
    299,005.08/412,727 = 178,184.28/x
  3. Step 3: Cross multiply
    299,005.08x = 412,727 × 178,184.28
  4. Step 4: Simplify right side
    299,005.08x = 73,541,463,331.56
  5. Step 5: Solve for x
    x = 73,541,463,331.56/299,005.08
  6. Step 6: Final answer
    x = 245,953.89

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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.