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Finding the Fourth Proportional to 301,078.76, 451,618.34 and 76,456.04

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Solution

The fourth proportional to 301,078.76, 451,618.34 and 76,456.04 is: 114,684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,078.76 : 451,618.34 = 76,456.04 : x
  2. Step 2: Convert to fraction form
    301,078.76/451,618.34 = 76,456.04/x
  3. Step 3: Cross multiply
    301,078.76x = 451,618.34 × 76,456.04
  4. Step 4: Simplify right side
    301,078.76x = 34,528,947,227.40
  5. Step 5: Solve for x
    x = 34,528,947,227.40/301,078.76
  6. Step 6: Final answer
    x = 114,684.10

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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.