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Finding the Fourth Proportional to 514,408.46, 771,330.80 and 159,323.90

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Solution

The fourth proportional to 514,408.46, 771,330.80 and 159,323.90 is: 238,898.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,408.46 : 771,330.80 = 159,323.90 : x
  2. Step 2: Convert to fraction form
    514,408.46/771,330.80 = 159,323.90/x
  3. Step 3: Cross multiply
    514,408.46x = 771,330.80 × 159,323.90
  4. Step 4: Simplify right side
    514,408.46x = 122,891,431,246.12
  5. Step 5: Solve for x
    x = 122,891,431,246.12/514,408.46
  6. Step 6: Final answer
    x = 238,898.54

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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.