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Finding the Fourth Proportional to 406,414.62, 560,730.84 and 262,947.42

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Solution

The fourth proportional to 406,414.62, 560,730.84 and 262,947.42 is: 362,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,414.62 : 560,730.84 = 262,947.42 : x
  2. Step 2: Convert to fraction form
    406,414.62/560,730.84 = 262,947.42/x
  3. Step 3: Cross multiply
    406,414.62x = 560,730.84 × 262,947.42
  4. Step 4: Simplify right side
    406,414.62x = 147,442,727,692.43
  5. Step 5: Solve for x
    x = 147,442,727,692.43/406,414.62
  6. Step 6: Final answer
    x = 362,788.94

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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.