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Finding the Fourth Proportional to 404,046, 557,600.76 and 225,198

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Solution

The fourth proportional to 404,046, 557,600.76 and 225,198 is: 310,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,046 : 557,600.76 = 225,198 : x
  2. Step 2: Convert to fraction form
    404,046/557,600.76 = 225,198/x
  3. Step 3: Cross multiply
    404,046x = 557,600.76 × 225,198
  4. Step 4: Simplify right side
    404,046x = 125,570,575,950.48
  5. Step 5: Solve for x
    x = 125,570,575,950.48/404,046
  6. Step 6: Final answer
    x = 310,782.87

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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.