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Finding the Fourth Proportional to 492,968.97, 680,297.18 and 266,614.47

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Solution

The fourth proportional to 492,968.97, 680,297.18 and 266,614.47 is: 367,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,968.97 : 680,297.18 = 266,614.47 : x
  2. Step 2: Convert to fraction form
    492,968.97/680,297.18 = 266,614.47/x
  3. Step 3: Cross multiply
    492,968.97x = 680,297.18 × 266,614.47
  4. Step 4: Simplify right side
    492,968.97x = 181,377,072,088.20
  5. Step 5: Solve for x
    x = 181,377,072,088.20/492,968.97
  6. Step 6: Final answer
    x = 367,927.97

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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.