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Finding the Fourth Proportional to 307,774.86, 461,702.82 and 115,712.52

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Solution

The fourth proportional to 307,774.86, 461,702.82 and 115,712.52 is: 173,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,774.86 : 461,702.82 = 115,712.52 : x
  2. Step 2: Convert to fraction form
    307,774.86/461,702.82 = 115,712.52/x
  3. Step 3: Cross multiply
    307,774.86x = 461,702.82 × 115,712.52
  4. Step 4: Simplify right side
    307,774.86x = 53,424,796,793.31
  5. Step 5: Solve for x
    x = 53,424,796,793.31/307,774.86
  6. Step 6: Final answer
    x = 173,584.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.