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Finding the Fourth Proportional to 260,738.40, 390,524.40 and 214,082.40

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Solution

The fourth proportional to 260,738.40, 390,524.40 and 214,082.40 is: 320,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,738.40 : 390,524.40 = 214,082.40 : x
  2. Step 2: Convert to fraction form
    260,738.40/390,524.40 = 214,082.40/x
  3. Step 3: Cross multiply
    260,738.40x = 390,524.40 × 214,082.40
  4. Step 4: Simplify right side
    260,738.40x = 83,604,400,810.56
  5. Step 5: Solve for x
    x = 83,604,400,810.56/260,738.40
  6. Step 6: Final answer
    x = 320,644.76

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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.