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Finding the Fourth Proportional to 663,870.24, 995,805.92 and 284,544.80

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Solution

The fourth proportional to 663,870.24, 995,805.92 and 284,544.80 is: 426,817.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,870.24 : 995,805.92 = 284,544.80 : x
  2. Step 2: Convert to fraction form
    663,870.24/995,805.92 = 284,544.80/x
  3. Step 3: Cross multiply
    663,870.24x = 995,805.92 × 284,544.80
  4. Step 4: Simplify right side
    663,870.24x = 283,351,396,345.22
  5. Step 5: Solve for x
    x = 283,351,396,345.22/663,870.24
  6. Step 6: Final answer
    x = 426,817.44

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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.