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Finding the Fourth Proportional to 294,563.52, 406,502.40 and 167,242.56

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Solution

The fourth proportional to 294,563.52, 406,502.40 and 167,242.56 is: 230,797.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,563.52 : 406,502.40 = 167,242.56 : x
  2. Step 2: Convert to fraction form
    294,563.52/406,502.40 = 167,242.56/x
  3. Step 3: Cross multiply
    294,563.52x = 406,502.40 × 167,242.56
  4. Step 4: Simplify right side
    294,563.52x = 67,984,502,022.14
  5. Step 5: Solve for x
    x = 67,984,502,022.14/294,563.52
  6. Step 6: Final answer
    x = 230,797.43

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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.