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Finding the Fourth Proportional to 519,820.80, 780,533.10 and 283,624.80

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Solution

The fourth proportional to 519,820.80, 780,533.10 and 283,624.80 is: 425,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,820.80 : 780,533.10 = 283,624.80 : x
  2. Step 2: Convert to fraction form
    519,820.80/780,533.10 = 283,624.80/x
  3. Step 3: Cross multiply
    519,820.80x = 780,533.10 × 283,624.80
  4. Step 4: Simplify right side
    519,820.80x = 221,378,544,380.88
  5. Step 5: Solve for x
    x = 221,378,544,380.88/519,820.80
  6. Step 6: Final answer
    x = 425,874.73

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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.