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Finding the Fourth Proportional to 278,229.82, 417,296.26 and 128,457.31

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Solution

The fourth proportional to 278,229.82, 417,296.26 and 128,457.31 is: 192,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,229.82 : 417,296.26 = 128,457.31 : x
  2. Step 2: Convert to fraction form
    278,229.82/417,296.26 = 128,457.31/x
  3. Step 3: Cross multiply
    278,229.82x = 417,296.26 × 128,457.31
  4. Step 4: Simplify right side
    278,229.82x = 53,604,755,032.66
  5. Step 5: Solve for x
    x = 53,604,755,032.66/278,229.82
  6. Step 6: Final answer
    x = 192,663.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.