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Finding the Fourth Proportional to 342,737.29, 514,194.63 and 200,702.58

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Solution

The fourth proportional to 342,737.29, 514,194.63 and 200,702.58 is: 301,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,737.29 : 514,194.63 = 200,702.58 : x
  2. Step 2: Convert to fraction form
    342,737.29/514,194.63 = 200,702.58/x
  3. Step 3: Cross multiply
    342,737.29x = 514,194.63 × 200,702.58
  4. Step 4: Simplify right side
    342,737.29x = 103,200,188,863.15
  5. Step 5: Solve for x
    x = 103,200,188,863.15/342,737.29
  6. Step 6: Final answer
    x = 301,105.81

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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.