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Finding the Fourth Proportional to 411,658.93, 617,402.00 and 116,101.81

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Solution

The fourth proportional to 411,658.93, 617,402.00 and 116,101.81 is: 174,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,658.93 : 617,402.00 = 116,101.81 : x
  2. Step 2: Convert to fraction form
    411,658.93/617,402.00 = 116,101.81/x
  3. Step 3: Cross multiply
    411,658.93x = 617,402.00 × 116,101.81
  4. Step 4: Simplify right side
    411,658.93x = 71,681,491,096.00
  5. Step 5: Solve for x
    x = 71,681,491,096.00/411,658.93
  6. Step 6: Final answer
    x = 174,128.35

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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.