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Finding the Fourth Proportional to 346,507.80, 519,837.30 and 196,819.80

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Solution

The fourth proportional to 346,507.80, 519,837.30 and 196,819.80 is: 295,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,507.80 : 519,837.30 = 196,819.80 : x
  2. Step 2: Convert to fraction form
    346,507.80/519,837.30 = 196,819.80/x
  3. Step 3: Cross multiply
    346,507.80x = 519,837.30 × 196,819.80
  4. Step 4: Simplify right side
    346,507.80x = 102,314,273,418.54
  5. Step 5: Solve for x
    x = 102,314,273,418.54/346,507.80
  6. Step 6: Final answer
    x = 295,272.64

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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.