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Finding the Fourth Proportional to 305,596.77, 458,398.26 and 92,366.40

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Solution

The fourth proportional to 305,596.77, 458,398.26 and 92,366.40 is: 138,550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,596.77 : 458,398.26 = 92,366.40 : x
  2. Step 2: Convert to fraction form
    305,596.77/458,398.26 = 92,366.40/x
  3. Step 3: Cross multiply
    305,596.77x = 458,398.26 × 92,366.40
  4. Step 4: Simplify right side
    305,596.77x = 42,340,597,042.46
  5. Step 5: Solve for x
    x = 42,340,597,042.46/305,596.77
  6. Step 6: Final answer
    x = 138,550.54

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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.