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Finding the Fourth Proportional to 535,382.85, 738,822.47 and 293,664.54

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Solution

The fourth proportional to 535,382.85, 738,822.47 and 293,664.54 is: 405,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,382.85 : 738,822.47 = 293,664.54 : x
  2. Step 2: Convert to fraction form
    535,382.85/738,822.47 = 293,664.54/x
  3. Step 3: Cross multiply
    535,382.85x = 738,822.47 × 293,664.54
  4. Step 4: Simplify right side
    535,382.85x = 216,965,960,794.21
  5. Step 5: Solve for x
    x = 216,965,960,794.21/535,382.85
  6. Step 6: Final answer
    x = 405,253.85

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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.