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Finding the Fourth Proportional to 535,064.85, 738,391.83 and 293,351.22

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Solution

The fourth proportional to 535,064.85, 738,391.83 and 293,351.22 is: 404,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,064.85 : 738,391.83 = 293,351.22 : x
  2. Step 2: Convert to fraction form
    535,064.85/738,391.83 = 293,351.22/x
  3. Step 3: Cross multiply
    535,064.85x = 738,391.83 × 293,351.22
  4. Step 4: Simplify right side
    535,064.85x = 216,608,144,168.53
  5. Step 5: Solve for x
    x = 216,608,144,168.53/535,064.85
  6. Step 6: Final answer
    x = 404,825.96

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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.