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Finding the Fourth Proportional to 411,084.69, 616,602.44 and 111,558.64

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Solution

The fourth proportional to 411,084.69, 616,602.44 and 111,558.64 is: 167,331.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,084.69 : 616,602.44 = 111,558.64 : x
  2. Step 2: Convert to fraction form
    411,084.69/616,602.44 = 111,558.64/x
  3. Step 3: Cross multiply
    411,084.69x = 616,602.44 × 111,558.64
  4. Step 4: Simplify right side
    411,084.69x = 68,787,330,784.16
  5. Step 5: Solve for x
    x = 68,787,330,784.16/411,084.69
  6. Step 6: Final answer
    x = 167,331.29

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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.