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Finding the Fourth Proportional to 299,259.80, 412,921.94 and 178,412.24

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Solution

The fourth proportional to 299,259.80, 412,921.94 and 178,412.24 is: 246,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,259.80 : 412,921.94 = 178,412.24 : x
  2. Step 2: Convert to fraction form
    299,259.80/412,921.94 = 178,412.24/x
  3. Step 3: Cross multiply
    299,259.80x = 412,921.94 × 178,412.24
  4. Step 4: Simplify right side
    299,259.80x = 73,670,328,260.55
  5. Step 5: Solve for x
    x = 73,670,328,260.55/299,259.80
  6. Step 6: Final answer
    x = 246,175.16

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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.