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Finding the Fourth Proportional to 410,231.77, 566,176.91 and 228,955.38

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Solution

The fourth proportional to 410,231.77, 566,176.91 and 228,955.38 is: 315,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,231.77 : 566,176.91 = 228,955.38 : x
  2. Step 2: Convert to fraction form
    410,231.77/566,176.91 = 228,955.38/x
  3. Step 3: Cross multiply
    410,231.77x = 566,176.91 × 228,955.38
  4. Step 4: Simplify right side
    410,231.77x = 129,629,249,576.28
  5. Step 5: Solve for x
    x = 129,629,249,576.28/410,231.77
  6. Step 6: Final answer
    x = 315,990.27

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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.