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Finding the Fourth Proportional to 295,601.90, 407,930.59 and 159,635.85

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Solution

The fourth proportional to 295,601.90, 407,930.59 and 159,635.85 is: 220,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,601.90 : 407,930.59 = 159,635.85 : x
  2. Step 2: Convert to fraction form
    295,601.90/407,930.59 = 159,635.85/x
  3. Step 3: Cross multiply
    295,601.90x = 407,930.59 × 159,635.85
  4. Step 4: Simplify right side
    295,601.90x = 65,120,345,145.46
  5. Step 5: Solve for x
    x = 65,120,345,145.46/295,601.90
  6. Step 6: Final answer
    x = 220,297.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.