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Finding the Fourth Proportional to 404,098.10, 606,514.35 and 204,557.30

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Solution

The fourth proportional to 404,098.10, 606,514.35 and 204,557.30 is: 307,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,098.10 : 606,514.35 = 204,557.30 : x
  2. Step 2: Convert to fraction form
    404,098.10/606,514.35 = 204,557.30/x
  3. Step 3: Cross multiply
    404,098.10x = 606,514.35 × 204,557.30
  4. Step 4: Simplify right side
    404,098.10x = 124,066,937,847.26
  5. Step 5: Solve for x
    x = 124,066,937,847.26/404,098.10
  6. Step 6: Final answer
    x = 307,021.83

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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.