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Finding the Fourth Proportional to 298,781.61, 412,308.13 and 167,955.27

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Solution

The fourth proportional to 298,781.61, 412,308.13 and 167,955.27 is: 231,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,781.61 : 412,308.13 = 167,955.27 : x
  2. Step 2: Convert to fraction form
    298,781.61/412,308.13 = 167,955.27/x
  3. Step 3: Cross multiply
    298,781.61x = 412,308.13 × 167,955.27
  4. Step 4: Simplify right side
    298,781.61x = 69,249,323,297.35
  5. Step 5: Solve for x
    x = 69,249,323,297.35/298,781.61
  6. Step 6: Final answer
    x = 231,772.37

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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.