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Finding the Fourth Proportional to 410,229.77, 566,174.15 and 228,953.38

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Solution

The fourth proportional to 410,229.77, 566,174.15 and 228,953.38 is: 315,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,229.77 : 566,174.15 = 228,953.38 : x
  2. Step 2: Convert to fraction form
    410,229.77/566,174.15 = 228,953.38/x
  3. Step 3: Cross multiply
    410,229.77x = 566,174.15 × 228,953.38
  4. Step 4: Simplify right side
    410,229.77x = 129,627,485,311.13
  5. Step 5: Solve for x
    x = 129,627,485,311.13/410,229.77
  6. Step 6: Final answer
    x = 315,987.51

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1.5x scale

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.