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Finding the Fourth Proportional to 405,973.38, 609,018.39 and 125,512.50

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Solution

The fourth proportional to 405,973.38, 609,018.39 and 125,512.50 is: 188,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,973.38 : 609,018.39 = 125,512.50 : x
  2. Step 2: Convert to fraction form
    405,973.38/609,018.39 = 125,512.50/x
  3. Step 3: Cross multiply
    405,973.38x = 609,018.39 × 125,512.50
  4. Step 4: Simplify right side
    405,973.38x = 76,439,420,674.88
  5. Step 5: Solve for x
    x = 76,439,420,674.88/405,973.38
  6. Step 6: Final answer
    x = 188,286.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.