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Finding the Fourth Proportional to 410,206.44, 566,085 and 226,445.16

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Solution

The fourth proportional to 410,206.44, 566,085 and 226,445.16 is: 312,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,206.44 : 566,085 = 226,445.16 : x
  2. Step 2: Convert to fraction form
    410,206.44/566,085 = 226,445.16/x
  3. Step 3: Cross multiply
    410,206.44x = 566,085 × 226,445.16
  4. Step 4: Simplify right side
    410,206.44x = 128,187,208,398.60
  5. Step 5: Solve for x
    x = 128,187,208,398.60/410,206.44
  6. Step 6: Final answer
    x = 312,494.38

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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.