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Finding the Fourth Proportional to 295,294.60, 407,506.44 and 161,158.60

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Solution

The fourth proportional to 295,294.60, 407,506.44 and 161,158.60 is: 222,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,294.60 : 407,506.44 = 161,158.60 : x
  2. Step 2: Convert to fraction form
    295,294.60/407,506.44 = 161,158.60/x
  3. Step 3: Cross multiply
    295,294.60x = 407,506.44 × 161,158.60
  4. Step 4: Simplify right side
    295,294.60x = 65,673,167,361.38
  5. Step 5: Solve for x
    x = 65,673,167,361.38/295,294.60
  6. Step 6: Final answer
    x = 222,398.81

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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.