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Finding the Fourth Proportional to 368,069, 507,930.36 and 204,724.40

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Solution

The fourth proportional to 368,069, 507,930.36 and 204,724.40 is: 282,516.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,069 : 507,930.36 = 204,724.40 : x
  2. Step 2: Convert to fraction form
    368,069/507,930.36 = 204,724.40/x
  3. Step 3: Cross multiply
    368,069x = 507,930.36 × 204,724.40
  4. Step 4: Simplify right side
    368,069x = 103,985,738,192.78
  5. Step 5: Solve for x
    x = 103,985,738,192.78/368,069
  6. Step 6: Final answer
    x = 282,516.97

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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.