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Finding the Fourth Proportional to 376,709.28, 519,862.32 and 206,946.96

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Solution

The fourth proportional to 376,709.28, 519,862.32 and 206,946.96 is: 285,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,709.28 : 519,862.32 = 206,946.96 : x
  2. Step 2: Convert to fraction form
    376,709.28/519,862.32 = 206,946.96/x
  3. Step 3: Cross multiply
    376,709.28x = 519,862.32 × 206,946.96
  4. Step 4: Simplify right side
    376,709.28x = 107,583,926,742.55
  5. Step 5: Solve for x
    x = 107,583,926,742.55/376,709.28
  6. Step 6: Final answer
    x = 285,588.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.