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Finding the Fourth Proportional to 411,717.12, 617,489.10 and 116,160

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Solution

The fourth proportional to 411,717.12, 617,489.10 and 116,160 is: 174,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,717.12 : 617,489.10 = 116,160 : x
  2. Step 2: Convert to fraction form
    411,717.12/617,489.10 = 116,160/x
  3. Step 3: Cross multiply
    411,717.12x = 617,489.10 × 116,160
  4. Step 4: Simplify right side
    411,717.12x = 71,727,533,856
  5. Step 5: Solve for x
    x = 71,727,533,856/411,717.12
  6. Step 6: Final answer
    x = 174,215.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.