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Finding the Fourth Proportional to 340,098.54, 509,929.11 and 162,601.62

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Solution

The fourth proportional to 340,098.54, 509,929.11 and 162,601.62 is: 243,797.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,098.54 : 509,929.11 = 162,601.62 : x
  2. Step 2: Convert to fraction form
    340,098.54/509,929.11 = 162,601.62/x
  3. Step 3: Cross multiply
    340,098.54x = 509,929.11 × 162,601.62
  4. Step 4: Simplify right side
    340,098.54x = 82,915,299,371.16
  5. Step 5: Solve for x
    x = 82,915,299,371.16/340,098.54
  6. Step 6: Final answer
    x = 243,797.87

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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.