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Finding the Fourth Proportional to 346,101.96, 477,619.84 and 193,138.56

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Solution

The fourth proportional to 346,101.96, 477,619.84 and 193,138.56 is: 266,530.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,101.96 : 477,619.84 = 193,138.56 : x
  2. Step 2: Convert to fraction form
    346,101.96/477,619.84 = 193,138.56/x
  3. Step 3: Cross multiply
    346,101.96x = 477,619.84 × 193,138.56
  4. Step 4: Simplify right side
    346,101.96x = 92,246,808,125.03
  5. Step 5: Solve for x
    x = 92,246,808,125.03/346,101.96
  6. Step 6: Final answer
    x = 266,530.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.