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Finding the Fourth Proportional to 294,658.66, 406,631.81 and 167,335.17

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Solution

The fourth proportional to 294,658.66, 406,631.81 and 167,335.17 is: 230,924.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,658.66 : 406,631.81 = 167,335.17 : x
  2. Step 2: Convert to fraction form
    294,658.66/406,631.81 = 167,335.17/x
  3. Step 3: Cross multiply
    294,658.66x = 406,631.81 × 167,335.17
  4. Step 4: Simplify right side
    294,658.66x = 68,043,801,947.23
  5. Step 5: Solve for x
    x = 68,043,801,947.23/294,658.66
  6. Step 6: Final answer
    x = 230,924.15

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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.