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Finding the Fourth Proportional to 403,642, 557,043.24 and 224,794

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Solution

The fourth proportional to 403,642, 557,043.24 and 224,794 is: 310,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,642 : 557,043.24 = 224,794 : x
  2. Step 2: Convert to fraction form
    403,642/557,043.24 = 224,794/x
  3. Step 3: Cross multiply
    403,642x = 557,043.24 × 224,794
  4. Step 4: Simplify right side
    403,642x = 125,219,978,092.56
  5. Step 5: Solve for x
    x = 125,219,978,092.56/403,642
  6. Step 6: Final answer
    x = 310,225.34

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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.