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Finding the Fourth Proportional to 521,796.40, 782,694.60 and 147,819.40

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Solution

The fourth proportional to 521,796.40, 782,694.60 and 147,819.40 is: 221,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,796.40 : 782,694.60 = 147,819.40 : x
  2. Step 2: Convert to fraction form
    521,796.40/782,694.60 = 147,819.40/x
  3. Step 3: Cross multiply
    521,796.40x = 782,694.60 × 147,819.40
  4. Step 4: Simplify right side
    521,796.40x = 115,697,446,155.24
  5. Step 5: Solve for x
    x = 115,697,446,155.24/521,796.40
  6. Step 6: Final answer
    x = 221,729.10

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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.