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Finding the Fourth Proportional to 311,926.46, 430,459.50 and 168,687.50

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Solution

The fourth proportional to 311,926.46, 430,459.50 and 168,687.50 is: 232,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,926.46 : 430,459.50 = 168,687.50 : x
  2. Step 2: Convert to fraction form
    311,926.46/430,459.50 = 168,687.50/x
  3. Step 3: Cross multiply
    311,926.46x = 430,459.50 × 168,687.50
  4. Step 4: Simplify right side
    311,926.46x = 72,613,136,906.25
  5. Step 5: Solve for x
    x = 72,613,136,906.25/311,926.46
  6. Step 6: Final answer
    x = 232,789.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.