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Finding the Fourth Proportional to 304,961.50, 420,846.90 and 185,729.50

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Solution

The fourth proportional to 304,961.50, 420,846.90 and 185,729.50 is: 256,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,961.50 : 420,846.90 = 185,729.50 : x
  2. Step 2: Convert to fraction form
    304,961.50/420,846.90 = 185,729.50/x
  3. Step 3: Cross multiply
    304,961.50x = 420,846.90 × 185,729.50
  4. Step 4: Simplify right side
    304,961.50x = 78,163,684,313.55
  5. Step 5: Solve for x
    x = 78,163,684,313.55/304,961.50
  6. Step 6: Final answer
    x = 256,306.73

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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.