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Finding the Fourth Proportional to 328,876.70, 493,259.41 and 92,164.90

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Solution

The fourth proportional to 328,876.70, 493,259.41 and 92,164.90 is: 138,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,876.70 : 493,259.41 = 92,164.90 : x
  2. Step 2: Convert to fraction form
    328,876.70/493,259.41 = 92,164.90/x
  3. Step 3: Cross multiply
    328,876.70x = 493,259.41 × 92,164.90
  4. Step 4: Simplify right side
    328,876.70x = 45,461,204,196.71
  5. Step 5: Solve for x
    x = 45,461,204,196.71/328,876.70
  6. Step 6: Final answer
    x = 138,231.76

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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.