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Finding the Fourth Proportional to 564,793.80, 847,846.80 and 340,407.60

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Solution

The fourth proportional to 564,793.80, 847,846.80 and 340,407.60 is: 511,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,793.80 : 847,846.80 = 340,407.60 : x
  2. Step 2: Convert to fraction form
    564,793.80/847,846.80 = 340,407.60/x
  3. Step 3: Cross multiply
    564,793.80x = 847,846.80 × 340,407.60
  4. Step 4: Simplify right side
    564,793.80x = 288,613,494,355.68
  5. Step 5: Solve for x
    x = 288,613,494,355.68/564,793.80
  6. Step 6: Final answer
    x = 511,006.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.