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Finding the Fourth Proportional to 411,661.18, 617,405.38 and 116,104.06

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Solution

The fourth proportional to 411,661.18, 617,405.38 and 116,104.06 is: 174,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,661.18 : 617,405.38 = 116,104.06 : x
  2. Step 2: Convert to fraction form
    411,661.18/617,405.38 = 116,104.06/x
  3. Step 3: Cross multiply
    411,661.18x = 617,405.38 × 116,104.06
  4. Step 4: Simplify right side
    411,661.18x = 71,683,271,283.84
  5. Step 5: Solve for x
    x = 71,683,271,283.84/411,661.18
  6. Step 6: Final answer
    x = 174,131.72

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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.