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Finding the Fourth Proportional to 395,562.24, 593,277.78 and 142,794.30

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Solution

The fourth proportional to 395,562.24, 593,277.78 and 142,794.30 is: 214,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,562.24 : 593,277.78 = 142,794.30 : x
  2. Step 2: Convert to fraction form
    395,562.24/593,277.78 = 142,794.30/x
  3. Step 3: Cross multiply
    395,562.24x = 593,277.78 × 142,794.30
  4. Step 4: Simplify right side
    395,562.24x = 84,716,685,300.65
  5. Step 5: Solve for x
    x = 84,716,685,300.65/395,562.24
  6. Step 6: Final answer
    x = 214,167.78

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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.