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Finding the Fourth Proportional to 330,865.80, 496,298.70 and 256,216.20

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Solution

The fourth proportional to 330,865.80, 496,298.70 and 256,216.20 is: 384,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,865.80 : 496,298.70 = 256,216.20 : x
  2. Step 2: Convert to fraction form
    330,865.80/496,298.70 = 256,216.20/x
  3. Step 3: Cross multiply
    330,865.80x = 496,298.70 × 256,216.20
  4. Step 4: Simplify right side
    330,865.80x = 127,159,766,978.94
  5. Step 5: Solve for x
    x = 127,159,766,978.94/330,865.80
  6. Step 6: Final answer
    x = 384,324.30

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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.