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Finding the Fourth Proportional to 294,837.42, 406,876.84 and 167,520

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Solution

The fourth proportional to 294,837.42, 406,876.84 and 167,520 is: 231,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,837.42 : 406,876.84 = 167,520 : x
  2. Step 2: Convert to fraction form
    294,837.42/406,876.84 = 167,520/x
  3. Step 3: Cross multiply
    294,837.42x = 406,876.84 × 167,520
  4. Step 4: Simplify right side
    294,837.42x = 68,160,008,236.80
  5. Step 5: Solve for x
    x = 68,160,008,236.80/294,837.42
  6. Step 6: Final answer
    x = 231,178.28

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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.