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Finding the Fourth Proportional to 264,778.20, 397,337.40 and 146,534.40

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Solution

The fourth proportional to 264,778.20, 397,337.40 and 146,534.40 is: 219,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,778.20 : 397,337.40 = 146,534.40 : x
  2. Step 2: Convert to fraction form
    264,778.20/397,337.40 = 146,534.40/x
  3. Step 3: Cross multiply
    264,778.20x = 397,337.40 × 146,534.40
  4. Step 4: Simplify right side
    264,778.20x = 58,223,597,506.56
  5. Step 5: Solve for x
    x = 58,223,597,506.56/264,778.20
  6. Step 6: Final answer
    x = 219,895.74

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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.