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Finding the Fourth Proportional to 305,400.33, 458,129.66 and 94,981.77

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Solution

The fourth proportional to 305,400.33, 458,129.66 and 94,981.77 is: 142,481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,400.33 : 458,129.66 = 94,981.77 : x
  2. Step 2: Convert to fraction form
    305,400.33/458,129.66 = 94,981.77/x
  3. Step 3: Cross multiply
    305,400.33x = 458,129.66 × 94,981.77
  4. Step 4: Simplify right side
    305,400.33x = 43,513,965,521.39
  5. Step 5: Solve for x
    x = 43,513,965,521.39/305,400.33
  6. Step 6: Final answer
    x = 142,481.72

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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.