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Finding the Fourth Proportional to 295,097.31, 407,235.56 and 160,964.19

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Solution

The fourth proportional to 295,097.31, 407,235.56 and 160,964.19 is: 222,131.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,097.31 : 407,235.56 = 160,964.19 : x
  2. Step 2: Convert to fraction form
    295,097.31/407,235.56 = 160,964.19/x
  3. Step 3: Cross multiply
    295,097.31x = 407,235.56 × 160,964.19
  4. Step 4: Simplify right side
    295,097.31x = 65,550,341,249.78
  5. Step 5: Solve for x
    x = 65,550,341,249.78/295,097.31
  6. Step 6: Final answer
    x = 222,131.27

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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.