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Finding the Fourth Proportional to 492,968.72, 680,296.84 and 266,614.22

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Solution

The fourth proportional to 492,968.72, 680,296.84 and 266,614.22 is: 367,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,968.72 : 680,296.84 = 266,614.22 : x
  2. Step 2: Convert to fraction form
    492,968.72/680,296.84 = 266,614.22/x
  3. Step 3: Cross multiply
    492,968.72x = 680,296.84 × 266,614.22
  4. Step 4: Simplify right side
    492,968.72x = 181,376,812,399.27
  5. Step 5: Solve for x
    x = 181,376,812,399.27/492,968.72
  6. Step 6: Final answer
    x = 367,927.63

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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.