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Finding the Fourth Proportional to 531,371.39, 733,255.86 and 298,833.08

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Solution

The fourth proportional to 531,371.39, 733,255.86 and 298,833.08 is: 412,369.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,371.39 : 733,255.86 = 298,833.08 : x
  2. Step 2: Convert to fraction form
    531,371.39/733,255.86 = 298,833.08/x
  3. Step 3: Cross multiply
    531,371.39x = 733,255.86 × 298,833.08
  4. Step 4: Simplify right side
    531,371.39x = 219,121,103,405.57
  5. Step 5: Solve for x
    x = 219,121,103,405.57/531,371.39
  6. Step 6: Final answer
    x = 412,369.03

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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.