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Finding the Fourth Proportional to 287,194.32, 430,791.36 and 76,826.80

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Solution

The fourth proportional to 287,194.32, 430,791.36 and 76,826.80 is: 115,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,194.32 : 430,791.36 = 76,826.80 : x
  2. Step 2: Convert to fraction form
    287,194.32/430,791.36 = 76,826.80/x
  3. Step 3: Cross multiply
    287,194.32x = 430,791.36 × 76,826.80
  4. Step 4: Simplify right side
    287,194.32x = 33,096,321,656.45
  5. Step 5: Solve for x
    x = 33,096,321,656.45/287,194.32
  6. Step 6: Final answer
    x = 115,240.17

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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.