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Finding the Fourth Proportional to 305,523.92, 458,176.52 and 105,790.70

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Solution

The fourth proportional to 305,523.92, 458,176.52 and 105,790.70 is: 158,648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,523.92 : 458,176.52 = 105,790.70 : x
  2. Step 2: Convert to fraction form
    305,523.92/458,176.52 = 105,790.70/x
  3. Step 3: Cross multiply
    305,523.92x = 458,176.52 × 105,790.70
  4. Step 4: Simplify right side
    305,523.92x = 48,470,814,774.36
  5. Step 5: Solve for x
    x = 48,470,814,774.36/305,523.92
  6. Step 6: Final answer
    x = 158,648.18

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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.