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Finding the Fourth Proportional to 409,683.92, 614,599.85 and 125,369.37

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Solution

The fourth proportional to 409,683.92, 614,599.85 and 125,369.37 is: 188,076.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,683.92 : 614,599.85 = 125,369.37 : x
  2. Step 2: Convert to fraction form
    409,683.92/614,599.85 = 125,369.37/x
  3. Step 3: Cross multiply
    409,683.92x = 614,599.85 × 125,369.37
  4. Step 4: Simplify right side
    409,683.92x = 77,051,996,310.02
  5. Step 5: Solve for x
    x = 77,051,996,310.02/409,683.92
  6. Step 6: Final answer
    x = 188,076.69

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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.