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Finding the Fourth Proportional to 342,734.79, 514,190.89 and 200,700.08

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Solution

The fourth proportional to 342,734.79, 514,190.89 and 200,700.08 is: 301,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,734.79 : 514,190.89 = 200,700.08 : x
  2. Step 2: Convert to fraction form
    342,734.79/514,190.89 = 200,700.08/x
  3. Step 3: Cross multiply
    342,734.79x = 514,190.89 × 200,700.08
  4. Step 4: Simplify right side
    342,734.79x = 103,198,151,237.47
  5. Step 5: Solve for x
    x = 103,198,151,237.47/342,734.79
  6. Step 6: Final answer
    x = 301,102.06

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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.