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Finding the Fourth Proportional to 305,886.26, 422,111.28 and 169,928.76

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Solution

The fourth proportional to 305,886.26, 422,111.28 and 169,928.76 is: 234,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,886.26 : 422,111.28 = 169,928.76 : x
  2. Step 2: Convert to fraction form
    305,886.26/422,111.28 = 169,928.76/x
  3. Step 3: Cross multiply
    305,886.26x = 422,111.28 × 169,928.76
  4. Step 4: Simplify right side
    305,886.26x = 71,728,846,392.41
  5. Step 5: Solve for x
    x = 71,728,846,392.41/305,886.26
  6. Step 6: Final answer
    x = 234,495.16

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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.