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Finding the Fourth Proportional to 411,953.90, 617,930.85 and 202,001.90

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Solution

The fourth proportional to 411,953.90, 617,930.85 and 202,001.90 is: 303,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,953.90 : 617,930.85 = 202,001.90 : x
  2. Step 2: Convert to fraction form
    411,953.90/617,930.85 = 202,001.90/x
  3. Step 3: Cross multiply
    411,953.90x = 617,930.85 × 202,001.90
  4. Step 4: Simplify right side
    411,953.90x = 124,823,205,768.62
  5. Step 5: Solve for x
    x = 124,823,205,768.62/411,953.90
  6. Step 6: Final answer
    x = 303,002.85

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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.