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Finding the Fourth Proportional to 299,000.02, 447,992.52 and 180,422.20

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Solution

The fourth proportional to 299,000.02, 447,992.52 and 180,422.20 is: 270,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,000.02 : 447,992.52 = 180,422.20 : x
  2. Step 2: Convert to fraction form
    299,000.02/447,992.52 = 180,422.20/x
  3. Step 3: Cross multiply
    299,000.02x = 447,992.52 × 180,422.20
  4. Step 4: Simplify right side
    299,000.02x = 80,827,796,041.94
  5. Step 5: Solve for x
    x = 80,827,796,041.94/299,000.02
  6. Step 6: Final answer
    x = 270,327.06

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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.