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Finding the Fourth Proportional to 997,658.10, 1,496,708.28 and 287,630.73

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Solution

The fourth proportional to 997,658.10, 1,496,708.28 and 287,630.73 is: 431,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,658.10 : 1,496,708.28 = 287,630.73 : x
  2. Step 2: Convert to fraction form
    997,658.10/1,496,708.28 = 287,630.73/x
  3. Step 3: Cross multiply
    997,658.10x = 1,496,708.28 × 287,630.73
  4. Step 4: Simplify right side
    997,658.10x = 430,499,295,173.44
  5. Step 5: Solve for x
    x = 430,499,295,173.44/997,658.10
  6. Step 6: Final answer
    x = 431,509.85

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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.