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Finding the Fourth Proportional to 410,793.54, 566,884.65 and 229,506.84

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Solution

The fourth proportional to 410,793.54, 566,884.65 and 229,506.84 is: 316,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,793.54 : 566,884.65 = 229,506.84 : x
  2. Step 2: Convert to fraction form
    410,793.54/566,884.65 = 229,506.84/x
  3. Step 3: Cross multiply
    410,793.54x = 566,884.65 × 229,506.84
  4. Step 4: Simplify right side
    410,793.54x = 130,103,900,684.05
  5. Step 5: Solve for x
    x = 130,103,900,684.05/410,793.54
  6. Step 6: Final answer
    x = 316,713.60

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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.