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Finding the Fourth Proportional to 295,600.88, 407,930.84 and 161,464.88

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Solution

The fourth proportional to 295,600.88, 407,930.84 and 161,464.88 is: 222,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,600.88 : 407,930.84 = 161,464.88 : x
  2. Step 2: Convert to fraction form
    295,600.88/407,930.84 = 161,464.88/x
  3. Step 3: Cross multiply
    295,600.88x = 407,930.84 × 161,464.88
  4. Step 4: Simplify right side
    295,600.88x = 65,866,501,281.92
  5. Step 5: Solve for x
    x = 65,866,501,281.92/295,600.88
  6. Step 6: Final answer
    x = 222,822.42

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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.