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Finding the Fourth Proportional to 368,175.92, 551,378.14 and 209,924.60

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Solution

The fourth proportional to 368,175.92, 551,378.14 and 209,924.60 is: 314,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,175.92 : 551,378.14 = 209,924.60 : x
  2. Step 2: Convert to fraction form
    368,175.92/551,378.14 = 209,924.60/x
  3. Step 3: Cross multiply
    368,175.92x = 551,378.14 × 209,924.60
  4. Step 4: Simplify right side
    368,175.92x = 115,747,832,206.54
  5. Step 5: Solve for x
    x = 115,747,832,206.54/368,175.92
  6. Step 6: Final answer
    x = 314,381.87

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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.