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Finding the Fourth Proportional to 533,749.86, 736,568.25 and 292,028.97

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Solution

The fourth proportional to 533,749.86, 736,568.25 and 292,028.97 is: 402,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,749.86 : 736,568.25 = 292,028.97 : x
  2. Step 2: Convert to fraction form
    533,749.86/736,568.25 = 292,028.97/x
  3. Step 3: Cross multiply
    533,749.86x = 736,568.25 × 292,028.97
  4. Step 4: Simplify right side
    533,749.86x = 215,099,267,382.20
  5. Step 5: Solve for x
    x = 215,099,267,382.20/533,749.86
  6. Step 6: Final answer
    x = 402,996.39

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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.