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Finding the Fourth Proportional to 346,835.76, 519,709.32 and 206,517.84

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Solution

The fourth proportional to 346,835.76, 519,709.32 and 206,517.84 is: 309,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,835.76 : 519,709.32 = 206,517.84 : x
  2. Step 2: Convert to fraction form
    346,835.76/519,709.32 = 206,517.84/x
  3. Step 3: Cross multiply
    346,835.76x = 519,709.32 × 206,517.84
  4. Step 4: Simplify right side
    346,835.76x = 107,329,246,194.27
  5. Step 5: Solve for x
    x = 107,329,246,194.27/346,835.76
  6. Step 6: Final answer
    x = 309,452.65

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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.