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Finding the Fourth Proportional to 305,518.80, 458,168.84 and 105,785.58

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Solution

The fourth proportional to 305,518.80, 458,168.84 and 105,785.58 is: 158,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,518.80 : 458,168.84 = 105,785.58 : x
  2. Step 2: Convert to fraction form
    305,518.80/458,168.84 = 105,785.58/x
  3. Step 3: Cross multiply
    305,518.80x = 458,168.84 × 105,785.58
  4. Step 4: Simplify right side
    305,518.80x = 48,467,656,477.33
  5. Step 5: Solve for x
    x = 48,467,656,477.33/305,518.80
  6. Step 6: Final answer
    x = 158,640.50

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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.