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Finding the Fourth Proportional to 457,234.80, 686,294.87 and 220,743.42

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Solution

The fourth proportional to 457,234.80, 686,294.87 and 220,743.42 is: 331,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,234.80 : 686,294.87 = 220,743.42 : x
  2. Step 2: Convert to fraction form
    457,234.80/686,294.87 = 220,743.42/x
  3. Step 3: Cross multiply
    457,234.80x = 686,294.87 × 220,743.42
  4. Step 4: Simplify right side
    457,234.80x = 151,495,075,628.54
  5. Step 5: Solve for x
    x = 151,495,075,628.54/457,234.80
  6. Step 6: Final answer
    x = 331,328.84

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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.