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Finding the Fourth Proportional to 317,403.82, 476,108.52 and 80,746.75

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Solution

The fourth proportional to 317,403.82, 476,108.52 and 80,746.75 is: 121,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,403.82 : 476,108.52 = 80,746.75 : x
  2. Step 2: Convert to fraction form
    317,403.82/476,108.52 = 80,746.75/x
  3. Step 3: Cross multiply
    317,403.82x = 476,108.52 × 80,746.75
  4. Step 4: Simplify right side
    317,403.82x = 38,444,215,637.31
  5. Step 5: Solve for x
    x = 38,444,215,637.31/317,403.82
  6. Step 6: Final answer
    x = 121,120.83

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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.