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Finding the Fourth Proportional to 411,658.62, 617,401.53 and 116,101.50

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Solution

The fourth proportional to 411,658.62, 617,401.53 and 116,101.50 is: 174,127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,658.62 : 617,401.53 = 116,101.50 : x
  2. Step 2: Convert to fraction form
    411,658.62/617,401.53 = 116,101.50/x
  3. Step 3: Cross multiply
    411,658.62x = 617,401.53 × 116,101.50
  4. Step 4: Simplify right side
    411,658.62x = 71,681,243,735.30
  5. Step 5: Solve for x
    x = 71,681,243,735.30/411,658.62
  6. Step 6: Final answer
    x = 174,127.88

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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.