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Finding the Fourth Proportional to 402,805.08, 555,827.94 and 233,007.48

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Solution

The fourth proportional to 402,805.08, 555,827.94 and 233,007.48 is: 321,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,805.08 : 555,827.94 = 233,007.48 : x
  2. Step 2: Convert to fraction form
    402,805.08/555,827.94 = 233,007.48/x
  3. Step 3: Cross multiply
    402,805.08x = 555,827.94 × 233,007.48
  4. Step 4: Simplify right side
    402,805.08x = 129,512,067,612.99
  5. Step 5: Solve for x
    x = 129,512,067,612.99/402,805.08
  6. Step 6: Final answer
    x = 321,525.41

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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.