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Finding the Fourth Proportional to 412,325.84, 568,765.32 and 261,160.40

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Solution

The fourth proportional to 412,325.84, 568,765.32 and 261,160.40 is: 360,246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,325.84 : 568,765.32 = 261,160.40 : x
  2. Step 2: Convert to fraction form
    412,325.84/568,765.32 = 261,160.40/x
  3. Step 3: Cross multiply
    412,325.84x = 568,765.32 × 261,160.40
  4. Step 4: Simplify right side
    412,325.84x = 148,538,978,477.33
  5. Step 5: Solve for x
    x = 148,538,978,477.33/412,325.84
  6. Step 6: Final answer
    x = 360,246.59

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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.