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Finding the Fourth Proportional to 411,658.12, 617,400.78 and 116,101

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Solution

The fourth proportional to 411,658.12, 617,400.78 and 116,101 is: 174,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,658.12 : 617,400.78 = 116,101 : x
  2. Step 2: Convert to fraction form
    411,658.12/617,400.78 = 116,101/x
  3. Step 3: Cross multiply
    411,658.12x = 617,400.78 × 116,101
  4. Step 4: Simplify right side
    411,658.12x = 71,680,847,958.78
  5. Step 5: Solve for x
    x = 71,680,847,958.78/411,658.12
  6. Step 6: Final answer
    x = 174,127.13

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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.