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Finding the Fourth Proportional to 287,884.80, 397,465.92 and 180,601.92

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Solution

The fourth proportional to 287,884.80, 397,465.92 and 180,601.92 is: 249,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,884.80 : 397,465.92 = 180,601.92 : x
  2. Step 2: Convert to fraction form
    287,884.80/397,465.92 = 180,601.92/x
  3. Step 3: Cross multiply
    287,884.80x = 397,465.92 × 180,601.92
  4. Step 4: Simplify right side
    287,884.80x = 71,783,108,286.57
  5. Step 5: Solve for x
    x = 71,783,108,286.57/287,884.80
  6. Step 6: Final answer
    x = 249,346.64

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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.