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Finding the Fourth Proportional to 514,408.96, 771,331.56 and 159,324.40

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Solution

The fourth proportional to 514,408.96, 771,331.56 and 159,324.40 is: 238,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,408.96 : 771,331.56 = 159,324.40 : x
  2. Step 2: Convert to fraction form
    514,408.96/771,331.56 = 159,324.40/x
  3. Step 3: Cross multiply
    514,408.96x = 771,331.56 × 159,324.40
  4. Step 4: Simplify right side
    514,408.96x = 122,891,937,998.06
  5. Step 5: Solve for x
    x = 122,891,937,998.06/514,408.96
  6. Step 6: Final answer
    x = 238,899.30

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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.