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Finding the Fourth Proportional to 535,717.68, 739,299.54 and 294,022.74

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Solution

The fourth proportional to 535,717.68, 739,299.54 and 294,022.74 is: 405,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,717.68 : 739,299.54 = 294,022.74 : x
  2. Step 2: Convert to fraction form
    535,717.68/739,299.54 = 294,022.74/x
  3. Step 3: Cross multiply
    535,717.68x = 739,299.54 × 294,022.74
  4. Step 4: Simplify right side
    535,717.68x = 217,370,876,431.54
  5. Step 5: Solve for x
    x = 217,370,876,431.54/535,717.68
  6. Step 6: Final answer
    x = 405,756.40

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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.