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Finding the Fourth Proportional to 395,464.80, 593,139.60 and 114,952.80

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Solution

The fourth proportional to 395,464.80, 593,139.60 and 114,952.80 is: 172,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,464.80 : 593,139.60 = 114,952.80 : x
  2. Step 2: Convert to fraction form
    395,464.80/593,139.60 = 114,952.80/x
  3. Step 3: Cross multiply
    395,464.80x = 593,139.60 × 114,952.80
  4. Step 4: Simplify right side
    395,464.80x = 68,183,057,810.88
  5. Step 5: Solve for x
    x = 68,183,057,810.88/395,464.80
  6. Step 6: Final answer
    x = 172,412.46

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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.