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Finding the Fourth Proportional to 283,965.76, 425,959.44 and 73,604.32

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Solution

The fourth proportional to 283,965.76, 425,959.44 and 73,604.32 is: 110,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,965.76 : 425,959.44 = 73,604.32 : x
  2. Step 2: Convert to fraction form
    283,965.76/425,959.44 = 73,604.32/x
  3. Step 3: Cross multiply
    283,965.76x = 425,959.44 × 73,604.32
  4. Step 4: Simplify right side
    283,965.76x = 31,352,454,928.78
  5. Step 5: Solve for x
    x = 31,352,454,928.78/283,965.76
  6. Step 6: Final answer
    x = 110,409.28

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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.