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Finding the Fourth Proportional to 341,856.40, 513,246.30 and 199,847.20

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Solution

The fourth proportional to 341,856.40, 513,246.30 and 199,847.20 is: 300,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,856.40 : 513,246.30 = 199,847.20 : x
  2. Step 2: Convert to fraction form
    341,856.40/513,246.30 = 199,847.20/x
  3. Step 3: Cross multiply
    341,856.40x = 513,246.30 × 199,847.20
  4. Step 4: Simplify right side
    341,856.40x = 102,570,835,965.36
  5. Step 5: Solve for x
    x = 102,570,835,965.36/341,856.40
  6. Step 6: Final answer
    x = 300,040.71

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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.