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Finding the Fourth Proportional to 665,014.80, 997,651.80 and 285,934.80

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Solution

The fourth proportional to 665,014.80, 997,651.80 and 285,934.80 is: 428,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,014.80 : 997,651.80 = 285,934.80 : x
  2. Step 2: Convert to fraction form
    665,014.80/997,651.80 = 285,934.80/x
  3. Step 3: Cross multiply
    665,014.80x = 997,651.80 × 285,934.80
  4. Step 4: Simplify right side
    665,014.80x = 285,263,367,902.64
  5. Step 5: Solve for x
    x = 285,263,367,902.64/665,014.80
  6. Step 6: Final answer
    x = 428,957.92

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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.