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Finding the Fourth Proportional to 538,462.86, 743,094.32 and 296,761

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Solution

The fourth proportional to 538,462.86, 743,094.32 and 296,761 is: 409,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,462.86 : 743,094.32 = 296,761 : x
  2. Step 2: Convert to fraction form
    538,462.86/743,094.32 = 296,761/x
  3. Step 3: Cross multiply
    538,462.86x = 743,094.32 × 296,761
  4. Step 4: Simplify right side
    538,462.86x = 220,521,413,497.52
  5. Step 5: Solve for x
    x = 220,521,413,497.52/538,462.86
  6. Step 6: Final answer
    x = 409,538.76

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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.