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Finding the Fourth Proportional to 411,039.66, 616,503.87 and 111,539.46

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Solution

The fourth proportional to 411,039.66, 616,503.87 and 111,539.46 is: 167,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,039.66 : 616,503.87 = 111,539.46 : x
  2. Step 2: Convert to fraction form
    411,039.66/616,503.87 = 111,539.46/x
  3. Step 3: Cross multiply
    411,039.66x = 616,503.87 × 111,539.46
  4. Step 4: Simplify right side
    411,039.66x = 68,764,508,747.71
  5. Step 5: Solve for x
    x = 68,764,508,747.71/411,039.66
  6. Step 6: Final answer
    x = 167,294.10

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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.