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Finding the Fourth Proportional to 395,907.14, 593,735.64 and 129,606.40

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Solution

The fourth proportional to 395,907.14, 593,735.64 and 129,606.40 is: 194,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,907.14 : 593,735.64 = 129,606.40 : x
  2. Step 2: Convert to fraction form
    395,907.14/593,735.64 = 129,606.40/x
  3. Step 3: Cross multiply
    395,907.14x = 593,735.64 × 129,606.40
  4. Step 4: Simplify right side
    395,907.14x = 76,951,941,871.68
  5. Step 5: Solve for x
    x = 76,951,941,871.68/395,907.14
  6. Step 6: Final answer
    x = 194,368.66

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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.