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Finding the Fourth Proportional to 411,180.41, 616,699.86 and 111,685.11

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Solution

The fourth proportional to 411,180.41, 616,699.86 and 111,685.11 is: 167,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,180.41 : 616,699.86 = 111,685.11 : x
  2. Step 2: Convert to fraction form
    411,180.41/616,699.86 = 111,685.11/x
  3. Step 3: Cross multiply
    411,180.41x = 616,699.86 × 111,685.11
  4. Step 4: Simplify right side
    411,180.41x = 68,876,191,701.08
  5. Step 5: Solve for x
    x = 68,876,191,701.08/411,180.41
  6. Step 6: Final answer
    x = 167,508.45

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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.