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Finding the Fourth Proportional to 395,460.80, 593,133.60 and 114,948.80

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Solution

The fourth proportional to 395,460.80, 593,133.60 and 114,948.80 is: 172,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,460.80 : 593,133.60 = 114,948.80 : x
  2. Step 2: Convert to fraction form
    395,460.80/593,133.60 = 114,948.80/x
  3. Step 3: Cross multiply
    395,460.80x = 593,133.60 × 114,948.80
  4. Step 4: Simplify right side
    395,460.80x = 68,179,995,559.68
  5. Step 5: Solve for x
    x = 68,179,995,559.68/395,460.80
  6. Step 6: Final answer
    x = 172,406.46

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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.