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Finding the Fourth Proportional to 342,751.14, 514,215.44 and 200,716.42

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Solution

The fourth proportional to 342,751.14, 514,215.44 and 200,716.42 is: 301,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,751.14 : 514,215.44 = 200,716.42 : x
  2. Step 2: Convert to fraction form
    342,751.14/514,215.44 = 200,716.42/x
  3. Step 3: Cross multiply
    342,751.14x = 514,215.44 × 200,716.42
  4. Step 4: Simplify right side
    342,751.14x = 103,211,482,225.53
  5. Step 5: Solve for x
    x = 103,211,482,225.53/342,751.14
  6. Step 6: Final answer
    x = 301,126.59

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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.