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Finding the Fourth Proportional to 410,854.22, 566,922.45 and 229,543.64

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Solution

The fourth proportional to 410,854.22, 566,922.45 and 229,543.64 is: 316,738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,854.22 : 566,922.45 = 229,543.64 : x
  2. Step 2: Convert to fraction form
    410,854.22/566,922.45 = 229,543.64/x
  3. Step 3: Cross multiply
    410,854.22x = 566,922.45 × 229,543.64
  4. Step 4: Simplify right side
    410,854.22x = 130,133,442,770.72
  5. Step 5: Solve for x
    x = 130,133,442,770.72/410,854.22
  6. Step 6: Final answer
    x = 316,738.73

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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.