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Finding the Fourth Proportional to 462,850.41, 694,025.94 and 209,992.92

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Solution

The fourth proportional to 462,850.41, 694,025.94 and 209,992.92 is: 314,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,850.41 : 694,025.94 = 209,992.92 : x
  2. Step 2: Convert to fraction form
    462,850.41/694,025.94 = 209,992.92/x
  3. Step 3: Cross multiply
    462,850.41x = 694,025.94 × 209,992.92
  4. Step 4: Simplify right side
    462,850.41x = 145,740,533,696.35
  5. Step 5: Solve for x
    x = 145,740,533,696.35/462,850.41
  6. Step 6: Final answer
    x = 314,876.10

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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.