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Finding the Fourth Proportional to 330,843.20, 496,264.80 and 301,812.80

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Solution

The fourth proportional to 330,843.20, 496,264.80 and 301,812.80 is: 452,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,843.20 : 496,264.80 = 301,812.80 : x
  2. Step 2: Convert to fraction form
    330,843.20/496,264.80 = 301,812.80/x
  3. Step 3: Cross multiply
    330,843.20x = 496,264.80 × 301,812.80
  4. Step 4: Simplify right side
    330,843.20x = 149,779,068,829.44
  5. Step 5: Solve for x
    x = 149,779,068,829.44/330,843.20
  6. Step 6: Final answer
    x = 452,719.20

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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.