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Finding the Fourth Proportional to 403,794.48, 557,255.16 and 234,081.84

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Solution

The fourth proportional to 403,794.48, 557,255.16 and 234,081.84 is: 323,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,794.48 : 557,255.16 = 234,081.84 : x
  2. Step 2: Convert to fraction form
    403,794.48/557,255.16 = 234,081.84/x
  3. Step 3: Cross multiply
    403,794.48x = 557,255.16 × 234,081.84
  4. Step 4: Simplify right side
    403,794.48x = 130,443,313,202.29
  5. Step 5: Solve for x
    x = 130,443,313,202.29/403,794.48
  6. Step 6: Final answer
    x = 323,043.82

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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.