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Finding the Fourth Proportional to 286,490.26, 395,333.38 and 165,639.30

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Solution

The fourth proportional to 286,490.26, 395,333.38 and 165,639.30 is: 228,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,490.26 : 395,333.38 = 165,639.30 : x
  2. Step 2: Convert to fraction form
    286,490.26/395,333.38 = 165,639.30/x
  3. Step 3: Cross multiply
    286,490.26x = 395,333.38 × 165,639.30
  4. Step 4: Simplify right side
    286,490.26x = 65,482,744,329.83
  5. Step 5: Solve for x
    x = 65,482,744,329.83/286,490.26
  6. Step 6: Final answer
    x = 228,568.83

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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.