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Finding the Fourth Proportional to 395,446.50, 593,047.08 and 142,694.10

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Solution

The fourth proportional to 395,446.50, 593,047.08 and 142,694.10 is: 213,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,446.50 : 593,047.08 = 142,694.10 : x
  2. Step 2: Convert to fraction form
    395,446.50/593,047.08 = 142,694.10/x
  3. Step 3: Cross multiply
    395,446.50x = 593,047.08 × 142,694.10
  4. Step 4: Simplify right side
    395,446.50x = 84,624,319,338.23
  5. Step 5: Solve for x
    x = 84,624,319,338.23/395,446.50
  6. Step 6: Final answer
    x = 213,996.89

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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.