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Finding the Fourth Proportional to 294,664.95, 406,640.43 and 167,341.46

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Solution

The fourth proportional to 294,664.95, 406,640.43 and 167,341.46 is: 230,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,664.95 : 406,640.43 = 167,341.46 : x
  2. Step 2: Convert to fraction form
    294,664.95/406,640.43 = 167,341.46/x
  3. Step 3: Cross multiply
    294,664.95x = 406,640.43 × 167,341.46
  4. Step 4: Simplify right side
    294,664.95x = 68,047,801,218.03
  5. Step 5: Solve for x
    x = 68,047,801,218.03/294,664.95
  6. Step 6: Final answer
    x = 230,932.80

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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.