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Finding the Fourth Proportional to 566,942.14, 849,902.67 and 206,861.64

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Solution

The fourth proportional to 566,942.14, 849,902.67 and 206,861.64 is: 310,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,942.14 : 849,902.67 = 206,861.64 : x
  2. Step 2: Convert to fraction form
    566,942.14/849,902.67 = 206,861.64/x
  3. Step 3: Cross multiply
    566,942.14x = 849,902.67 × 206,861.64
  4. Step 4: Simplify right side
    566,942.14x = 175,812,260,156.58
  5. Step 5: Solve for x
    x = 175,812,260,156.58/566,942.14
  6. Step 6: Final answer
    x = 310,106.18

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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.