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Finding the Fourth Proportional to 410,137.20, 615,205.80 and 345,183.30

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Solution

The fourth proportional to 410,137.20, 615,205.80 and 345,183.30 is: 517,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,137.20 : 615,205.80 = 345,183.30 : x
  2. Step 2: Convert to fraction form
    410,137.20/615,205.80 = 345,183.30/x
  3. Step 3: Cross multiply
    410,137.20x = 615,205.80 × 345,183.30
  4. Step 4: Simplify right side
    410,137.20x = 212,358,768,223.14
  5. Step 5: Solve for x
    x = 212,358,768,223.14/410,137.20
  6. Step 6: Final answer
    x = 517,774.95

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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.