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Finding the Fourth Proportional to 298,175.15, 411,484.38 and 162,212.06

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Solution

The fourth proportional to 298,175.15, 411,484.38 and 162,212.06 is: 223,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,175.15 : 411,484.38 = 162,212.06 : x
  2. Step 2: Convert to fraction form
    298,175.15/411,484.38 = 162,212.06/x
  3. Step 3: Cross multiply
    298,175.15x = 411,484.38 × 162,212.06
  4. Step 4: Simplify right side
    298,175.15x = 66,747,728,937.62
  5. Step 5: Solve for x
    x = 66,747,728,937.62/298,175.15
  6. Step 6: Final answer
    x = 223,854.10

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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.