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Finding the Fourth Proportional to 411,098.44, 616,688.70 and 111,583.84

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Solution

The fourth proportional to 411,098.44, 616,688.70 and 111,583.84 is: 167,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,098.44 : 616,688.70 = 111,583.84 : x
  2. Step 2: Convert to fraction form
    411,098.44/616,688.70 = 111,583.84/x
  3. Step 3: Cross multiply
    411,098.44x = 616,688.70 × 111,583.84
  4. Step 4: Simplify right side
    411,098.44x = 68,812,493,230.61
  5. Step 5: Solve for x
    x = 68,812,493,230.61/411,098.44
  6. Step 6: Final answer
    x = 167,386.90

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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.