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Finding the Fourth Proportional to 330,902.88, 456,643.92 and 180,000.48

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Solution

The fourth proportional to 330,902.88, 456,643.92 and 180,000.48 is: 248,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,902.88 : 456,643.92 = 180,000.48 : x
  2. Step 2: Convert to fraction form
    330,902.88/456,643.92 = 180,000.48/x
  3. Step 3: Cross multiply
    330,902.88x = 456,643.92 × 180,000.48
  4. Step 4: Simplify right side
    330,902.88x = 82,196,124,789.08
  5. Step 5: Solve for x
    x = 82,196,124,789.08/330,902.88
  6. Step 6: Final answer
    x = 248,399.54

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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.