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Finding the Fourth Proportional to 617,910.96, 926,882.64 and 197,186.44

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Solution

The fourth proportional to 617,910.96, 926,882.64 and 197,186.44 is: 295,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,910.96 : 926,882.64 = 197,186.44 : x
  2. Step 2: Convert to fraction form
    617,910.96/926,882.64 = 197,186.44/x
  3. Step 3: Cross multiply
    617,910.96x = 926,882.64 × 197,186.44
  4. Step 4: Simplify right side
    617,910.96x = 182,768,688,079.40
  5. Step 5: Solve for x
    x = 182,768,688,079.40/617,910.96
  6. Step 6: Final answer
    x = 295,784.83

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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.