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Finding the Fourth Proportional to 357,062.46, 492,743.43 and 206,242.62

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Solution

The fourth proportional to 357,062.46, 492,743.43 and 206,242.62 is: 284,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,062.46 : 492,743.43 = 206,242.62 : x
  2. Step 2: Convert to fraction form
    357,062.46/492,743.43 = 206,242.62/x
  3. Step 3: Cross multiply
    357,062.46x = 492,743.43 × 206,242.62
  4. Step 4: Simplify right side
    357,062.46x = 101,624,695,990.99
  5. Step 5: Solve for x
    x = 101,624,695,990.99/357,062.46
  6. Step 6: Final answer
    x = 284,613.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.