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Finding the Fourth Proportional to 295,651.06, 407,998.34 and 159,684.96

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Solution

The fourth proportional to 295,651.06, 407,998.34 and 159,684.96 is: 220,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,651.06 : 407,998.34 = 159,684.96 : x
  2. Step 2: Convert to fraction form
    295,651.06/407,998.34 = 159,684.96/x
  3. Step 3: Cross multiply
    295,651.06x = 407,998.34 × 159,684.96
  4. Step 4: Simplify right side
    295,651.06x = 65,151,195,764.55
  5. Step 5: Solve for x
    x = 65,151,195,764.55/295,651.06
  6. Step 6: Final answer
    x = 220,365.17

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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.