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Finding the Fourth Proportional to 404,970, 558,858.60 and 226,122

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Solution

The fourth proportional to 404,970, 558,858.60 and 226,122 is: 312,048.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,970 : 558,858.60 = 226,122 : x
  2. Step 2: Convert to fraction form
    404,970/558,858.60 = 226,122/x
  3. Step 3: Cross multiply
    404,970x = 558,858.60 × 226,122
  4. Step 4: Simplify right side
    404,970x = 126,370,224,349.20
  5. Step 5: Solve for x
    x = 126,370,224,349.20/404,970
  6. Step 6: Final answer
    x = 312,048.36

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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.