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Finding the Fourth Proportional to 295,096.30, 407,218.49 and 167,769.16

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Solution

The fourth proportional to 295,096.30, 407,218.49 and 167,769.16 is: 231,513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,096.30 : 407,218.49 = 167,769.16 : x
  2. Step 2: Convert to fraction form
    295,096.30/407,218.49 = 167,769.16/x
  3. Step 3: Cross multiply
    295,096.30x = 407,218.49 × 167,769.16
  4. Step 4: Simplify right side
    295,096.30x = 68,318,702,776.01
  5. Step 5: Solve for x
    x = 68,318,702,776.01/295,096.30
  6. Step 6: Final answer
    x = 231,513.25

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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.