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Finding the Fourth Proportional to 295,399.10, 407,648.68 and 161,263.10

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Solution

The fourth proportional to 295,399.10, 407,648.68 and 161,263.10 is: 222,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,399.10 : 407,648.68 = 161,263.10 : x
  2. Step 2: Convert to fraction form
    295,399.10/407,648.68 = 161,263.10/x
  3. Step 3: Cross multiply
    295,399.10x = 407,648.68 × 161,263.10
  4. Step 4: Simplify right side
    295,399.10x = 65,738,687,406.31
  5. Step 5: Solve for x
    x = 65,738,687,406.31/295,399.10
  6. Step 6: Final answer
    x = 222,541.94

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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.