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Finding the Fourth Proportional to 404,854, 558,698.56 and 226,006

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Solution

The fourth proportional to 404,854, 558,698.56 and 226,006 is: 311,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,854 : 558,698.56 = 226,006 : x
  2. Step 2: Convert to fraction form
    404,854/558,698.56 = 226,006/x
  3. Step 3: Cross multiply
    404,854x = 558,698.56 × 226,006
  4. Step 4: Simplify right side
    404,854x = 126,269,226,751.36
  5. Step 5: Solve for x
    x = 126,269,226,751.36/404,854
  6. Step 6: Final answer
    x = 311,888.30

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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.