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Finding the Fourth Proportional to 294,555.36, 406,471.92 and 167,214.24

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Solution

The fourth proportional to 294,555.36, 406,471.92 and 167,214.24 is: 230,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,555.36 : 406,471.92 = 167,214.24 : x
  2. Step 2: Convert to fraction form
    294,555.36/406,471.92 = 167,214.24/x
  3. Step 3: Cross multiply
    294,555.36x = 406,471.92 × 167,214.24
  4. Step 4: Simplify right side
    294,555.36x = 67,967,893,184.14
  5. Step 5: Solve for x
    x = 67,967,893,184.14/294,555.36
  6. Step 6: Final answer
    x = 230,747.43

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1.5x scale

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.