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Finding the Fourth Proportional to 395,996.40, 593,476.20 and 159,145.20

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Solution

The fourth proportional to 395,996.40, 593,476.20 and 159,145.20 is: 238,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,996.40 : 593,476.20 = 159,145.20 : x
  2. Step 2: Convert to fraction form
    395,996.40/593,476.20 = 159,145.20/x
  3. Step 3: Cross multiply
    395,996.40x = 593,476.20 × 159,145.20
  4. Step 4: Simplify right side
    395,996.40x = 94,448,888,544.24
  5. Step 5: Solve for x
    x = 94,448,888,544.24/395,996.40
  6. Step 6: Final answer
    x = 238,509.46

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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.