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Finding the Fourth Proportional to 588,717, 883,096.97 and 209,665.62

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Solution

The fourth proportional to 588,717, 883,096.97 and 209,665.62 is: 314,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,717 : 883,096.97 = 209,665.62 : x
  2. Step 2: Convert to fraction form
    588,717/883,096.97 = 209,665.62/x
  3. Step 3: Cross multiply
    588,717x = 883,096.97 × 209,665.62
  4. Step 4: Simplify right side
    588,717x = 185,155,072,686.84
  5. Step 5: Solve for x
    x = 185,155,072,686.84/588,717
  6. Step 6: Final answer
    x = 314,506.07

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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.