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Finding the Fourth Proportional to 415,121.67, 622,266.42 and 162,054.18

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Solution

The fourth proportional to 415,121.67, 622,266.42 and 162,054.18 is: 242,918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,121.67 : 622,266.42 = 162,054.18 : x
  2. Step 2: Convert to fraction form
    415,121.67/622,266.42 = 162,054.18/x
  3. Step 3: Cross multiply
    415,121.67x = 622,266.42 × 162,054.18
  4. Step 4: Simplify right side
    415,121.67x = 100,840,874,434.64
  5. Step 5: Solve for x
    x = 100,840,874,434.64/415,121.67
  6. Step 6: Final answer
    x = 242,918.84

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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.