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Finding the Fourth Proportional to 457,846.80, 686,770.20 and 434,518.80

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Solution

The fourth proportional to 457,846.80, 686,770.20 and 434,518.80 is: 651,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,846.80 : 686,770.20 = 434,518.80 : x
  2. Step 2: Convert to fraction form
    457,846.80/686,770.20 = 434,518.80/x
  3. Step 3: Cross multiply
    457,846.80x = 686,770.20 × 434,518.80
  4. Step 4: Simplify right side
    457,846.80x = 298,414,563,179.76
  5. Step 5: Solve for x
    x = 298,414,563,179.76/457,846.80
  6. Step 6: Final answer
    x = 651,778.20

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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.