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Finding the Fourth Proportional to 409,891.89, 565,636.95 and 226,137.81

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Solution

The fourth proportional to 409,891.89, 565,636.95 and 226,137.81 is: 312,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,891.89 : 565,636.95 = 226,137.81 : x
  2. Step 2: Convert to fraction form
    409,891.89/565,636.95 = 226,137.81/x
  3. Step 3: Cross multiply
    409,891.89x = 565,636.95 × 226,137.81
  4. Step 4: Simplify right side
    409,891.89x = 127,911,901,128.08
  5. Step 5: Solve for x
    x = 127,911,901,128.08/409,891.89
  6. Step 6: Final answer
    x = 312,062.53

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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.