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Finding the Fourth Proportional to 305,826.92, 422,026.56 and 169,869.56

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Solution

The fourth proportional to 305,826.92, 422,026.56 and 169,869.56 is: 234,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,826.92 : 422,026.56 = 169,869.56 : x
  2. Step 2: Convert to fraction form
    305,826.92/422,026.56 = 169,869.56/x
  3. Step 3: Cross multiply
    305,826.92x = 422,026.56 × 169,869.56
  4. Step 4: Simplify right side
    305,826.92x = 71,689,466,055.51
  5. Step 5: Solve for x
    x = 71,689,466,055.51/305,826.92
  6. Step 6: Final answer
    x = 234,411.89

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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.