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Finding the Fourth Proportional to 311,892.30, 467,838.45 and 185,593.05

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Solution

The fourth proportional to 311,892.30, 467,838.45 and 185,593.05 is: 278,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,892.30 : 467,838.45 = 185,593.05 : x
  2. Step 2: Convert to fraction form
    311,892.30/467,838.45 = 185,593.05/x
  3. Step 3: Cross multiply
    311,892.30x = 467,838.45 × 185,593.05
  4. Step 4: Simplify right side
    311,892.30x = 86,827,564,842.77
  5. Step 5: Solve for x
    x = 86,827,564,842.77/311,892.30
  6. Step 6: Final answer
    x = 278,389.58

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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.