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Finding the Fourth Proportional to 416,111.40, 624,167.10 and 266,812.20

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Solution

The fourth proportional to 416,111.40, 624,167.10 and 266,812.20 is: 400,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,111.40 : 624,167.10 = 266,812.20 : x
  2. Step 2: Convert to fraction form
    416,111.40/624,167.10 = 266,812.20/x
  3. Step 3: Cross multiply
    416,111.40x = 624,167.10 × 266,812.20
  4. Step 4: Simplify right side
    416,111.40x = 166,535,397,118.62
  5. Step 5: Solve for x
    x = 166,535,397,118.62/416,111.40
  6. Step 6: Final answer
    x = 400,218.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.