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Finding the Fourth Proportional to 535,645.85, 739,189.25 and 293,932.47

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Solution

The fourth proportional to 535,645.85, 739,189.25 and 293,932.47 is: 405,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,645.85 : 739,189.25 = 293,932.47 : x
  2. Step 2: Convert to fraction form
    535,645.85/739,189.25 = 293,932.47/x
  3. Step 3: Cross multiply
    535,645.85x = 739,189.25 × 293,932.47
  4. Step 4: Simplify right side
    535,645.85x = 217,271,720,580.29
  5. Step 5: Solve for x
    x = 217,271,720,580.29/535,645.85
  6. Step 6: Final answer
    x = 405,625.69

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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.