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Finding the Fourth Proportional to 412,538.40, 569,193.24 and 238,064.40

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Solution

The fourth proportional to 412,538.40, 569,193.24 and 238,064.40 is: 328,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,538.40 : 569,193.24 = 238,064.40 : x
  2. Step 2: Convert to fraction form
    412,538.40/569,193.24 = 238,064.40/x
  3. Step 3: Cross multiply
    412,538.40x = 569,193.24 × 238,064.40
  4. Step 4: Simplify right side
    412,538.40x = 135,504,647,164.66
  5. Step 5: Solve for x
    x = 135,504,647,164.66/412,538.40
  6. Step 6: Final answer
    x = 328,465.54

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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.