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Finding the Fourth Proportional to 367,038.92, 506,468.22 and 205,871.60

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Solution

The fourth proportional to 367,038.92, 506,468.22 and 205,871.60 is: 284,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,038.92 : 506,468.22 = 205,871.60 : x
  2. Step 2: Convert to fraction form
    367,038.92/506,468.22 = 205,871.60/x
  3. Step 3: Cross multiply
    367,038.92x = 506,468.22 × 205,871.60
  4. Step 4: Simplify right side
    367,038.92x = 104,267,422,800.55
  5. Step 5: Solve for x
    x = 104,267,422,800.55/367,038.92
  6. Step 6: Final answer
    x = 284,077.29

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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.