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Finding the Fourth Proportional to 378,019.98, 566,833.01 and 178,286.67

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Solution

The fourth proportional to 378,019.98, 566,833.01 and 178,286.67 is: 267,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,019.98 : 566,833.01 = 178,286.67 : x
  2. Step 2: Convert to fraction form
    378,019.98/566,833.01 = 178,286.67/x
  3. Step 3: Cross multiply
    378,019.98x = 566,833.01 × 178,286.67
  4. Step 4: Simplify right side
    378,019.98x = 101,058,768,907.54
  5. Step 5: Solve for x
    x = 101,058,768,907.54/378,019.98
  6. Step 6: Final answer
    x = 267,337.11

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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.