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Finding the Fourth Proportional to 341,323.53, 510,993.72 and 198,733.83

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Solution

The fourth proportional to 341,323.53, 510,993.72 and 198,733.83 is: 297,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,323.53 : 510,993.72 = 198,733.83 : x
  2. Step 2: Convert to fraction form
    341,323.53/510,993.72 = 198,733.83/x
  3. Step 3: Cross multiply
    341,323.53x = 510,993.72 × 198,733.83
  4. Step 4: Simplify right side
    341,323.53x = 101,551,739,081.55
  5. Step 5: Solve for x
    x = 101,551,739,081.55/341,323.53
  6. Step 6: Final answer
    x = 297,523.41

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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.