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Finding the Fourth Proportional to 404,044, 557,598 and 225,196

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Solution

The fourth proportional to 404,044, 557,598 and 225,196 is: 310,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,044 : 557,598 = 225,196 : x
  2. Step 2: Convert to fraction form
    404,044/557,598 = 225,196/x
  3. Step 3: Cross multiply
    404,044x = 557,598 × 225,196
  4. Step 4: Simplify right side
    404,044x = 125,568,839,208
  5. Step 5: Solve for x
    x = 125,568,839,208/404,044
  6. Step 6: Final answer
    x = 310,780.11

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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.