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Finding the Fourth Proportional to 315,892.14, 474,059.61 and 182,589

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Solution

The fourth proportional to 315,892.14, 474,059.61 and 182,589 is: 274,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,892.14 : 474,059.61 = 182,589 : x
  2. Step 2: Convert to fraction form
    315,892.14/474,059.61 = 182,589/x
  3. Step 3: Cross multiply
    315,892.14x = 474,059.61 × 182,589
  4. Step 4: Simplify right side
    315,892.14x = 86,558,070,130.29
  5. Step 5: Solve for x
    x = 86,558,070,130.29/315,892.14
  6. Step 6: Final answer
    x = 274,011.47

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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.