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Finding the Fourth Proportional to 395,468.04, 593,015.70 and 142,715.54

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Solution

The fourth proportional to 395,468.04, 593,015.70 and 142,715.54 is: 214,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,468.04 : 593,015.70 = 142,715.54 : x
  2. Step 2: Convert to fraction form
    395,468.04/593,015.70 = 142,715.54/x
  3. Step 3: Cross multiply
    395,468.04x = 593,015.70 × 142,715.54
  4. Step 4: Simplify right side
    395,468.04x = 84,632,555,853.98
  5. Step 5: Solve for x
    x = 84,632,555,853.98/395,468.04
  6. Step 6: Final answer
    x = 214,006.06

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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.