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Finding the Fourth Proportional to 520,126.56, 780,811.92 and 309,863.52

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Solution

The fourth proportional to 520,126.56, 780,811.92 and 309,863.52 is: 465,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,126.56 : 780,811.92 = 309,863.52 : x
  2. Step 2: Convert to fraction form
    520,126.56/780,811.92 = 309,863.52/x
  3. Step 3: Cross multiply
    520,126.56x = 780,811.92 × 309,863.52
  4. Step 4: Simplify right side
    520,126.56x = 241,945,129,989.16
  5. Step 5: Solve for x
    x = 241,945,129,989.16/520,126.56
  6. Step 6: Final answer
    x = 465,165.88

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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.