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Finding the Fourth Proportional to 803,098.02, 1,204,758 and 270,771.24

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Solution

The fourth proportional to 803,098.02, 1,204,758 and 270,771.24 is: 406,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,098.02 : 1,204,758 = 270,771.24 : x
  2. Step 2: Convert to fraction form
    803,098.02/1,204,758 = 270,771.24/x
  3. Step 3: Cross multiply
    803,098.02x = 1,204,758 × 270,771.24
  4. Step 4: Simplify right side
    803,098.02x = 326,213,817,559.92
  5. Step 5: Solve for x
    x = 326,213,817,559.92/803,098.02
  6. Step 6: Final answer
    x = 406,194.27

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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.