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Finding the Fourth Proportional to 410,230.33, 566,174.92 and 228,953.94

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Solution

The fourth proportional to 410,230.33, 566,174.92 and 228,953.94 is: 315,988.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,230.33 : 566,174.92 = 228,953.94 : x
  2. Step 2: Convert to fraction form
    410,230.33/566,174.92 = 228,953.94/x
  3. Step 3: Cross multiply
    410,230.33x = 566,174.92 × 228,953.94
  4. Step 4: Simplify right side
    410,230.33x = 129,627,978,663.19
  5. Step 5: Solve for x
    x = 129,627,978,663.19/410,230.33
  6. Step 6: Final answer
    x = 315,988.29

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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.