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Finding the Fourth Proportional to 367,099.28, 506,567.22 and 205,931.96

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Solution

The fourth proportional to 367,099.28, 506,567.22 and 205,931.96 is: 284,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,099.28 : 506,567.22 = 205,931.96 : x
  2. Step 2: Convert to fraction form
    367,099.28/506,567.22 = 205,931.96/x
  3. Step 3: Cross multiply
    367,099.28x = 506,567.22 × 205,931.96
  4. Step 4: Simplify right side
    367,099.28x = 104,318,380,486.35
  5. Step 5: Solve for x
    x = 104,318,380,486.35/367,099.28
  6. Step 6: Final answer
    x = 284,169.40

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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.