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Finding the Fourth Proportional to 342,749.14, 514,212.44 and 200,714.42

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Solution

The fourth proportional to 342,749.14, 514,212.44 and 200,714.42 is: 301,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,749.14 : 514,212.44 = 200,714.42 : x
  2. Step 2: Convert to fraction form
    342,749.14/514,212.44 = 200,714.42/x
  3. Step 3: Cross multiply
    342,749.14x = 514,212.44 × 200,714.42
  4. Step 4: Simplify right side
    342,749.14x = 103,209,851,933.34
  5. Step 5: Solve for x
    x = 103,209,851,933.34/342,749.14
  6. Step 6: Final answer
    x = 301,123.59

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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.