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Finding the Fourth Proportional to 472,001.36, 707,452.54 and 269,739.30

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Solution

The fourth proportional to 472,001.36, 707,452.54 and 269,739.30 is: 404,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,001.36 : 707,452.54 = 269,739.30 : x
  2. Step 2: Convert to fraction form
    472,001.36/707,452.54 = 269,739.30/x
  3. Step 3: Cross multiply
    472,001.36x = 707,452.54 × 269,739.30
  4. Step 4: Simplify right side
    472,001.36x = 190,827,752,922.82
  5. Step 5: Solve for x
    x = 190,827,752,922.82/472,001.36
  6. Step 6: Final answer
    x = 404,294.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.