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Finding the Fourth Proportional to 395,762.24, 593,421.44 and 170,982.40

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Solution

The fourth proportional to 395,762.24, 593,421.44 and 170,982.40 is: 256,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,762.24 : 593,421.44 = 170,982.40 : x
  2. Step 2: Convert to fraction form
    395,762.24/593,421.44 = 170,982.40/x
  3. Step 3: Cross multiply
    395,762.24x = 593,421.44 × 170,982.40
  4. Step 4: Simplify right side
    395,762.24x = 101,464,622,022.66
  5. Step 5: Solve for x
    x = 101,464,622,022.66/395,762.24
  6. Step 6: Final answer
    x = 256,377.72

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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.