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Finding the Fourth Proportional to 287,949.40, 397,367.46 and 158,889.04

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Solution

The fourth proportional to 287,949.40, 397,367.46 and 158,889.04 is: 219,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,949.40 : 397,367.46 = 158,889.04 : x
  2. Step 2: Convert to fraction form
    287,949.40/397,367.46 = 158,889.04/x
  3. Step 3: Cross multiply
    287,949.40x = 397,367.46 × 158,889.04
  4. Step 4: Simplify right side
    287,949.40x = 63,137,334,246.64
  5. Step 5: Solve for x
    x = 63,137,334,246.64/287,949.40
  6. Step 6: Final answer
    x = 219,265.38

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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.