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Finding the Fourth Proportional to 643,206.35, 964,611.86 and 444,801.71

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Solution

The fourth proportional to 643,206.35, 964,611.86 and 444,801.71 is: 667,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,206.35 : 964,611.86 = 444,801.71 : x
  2. Step 2: Convert to fraction form
    643,206.35/964,611.86 = 444,801.71/x
  3. Step 3: Cross multiply
    643,206.35x = 964,611.86 × 444,801.71
  4. Step 4: Simplify right side
    643,206.35x = 429,060,997,767.21
  5. Step 5: Solve for x
    x = 429,060,997,767.21/643,206.35
  6. Step 6: Final answer
    x = 667,065.87

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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.