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Finding the Fourth Proportional to 492,655.97, 679,864.94 and 266,301.47

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Solution

The fourth proportional to 492,655.97, 679,864.94 and 266,301.47 is: 367,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,655.97 : 679,864.94 = 266,301.47 : x
  2. Step 2: Convert to fraction form
    492,655.97/679,864.94 = 266,301.47/x
  3. Step 3: Cross multiply
    492,655.97x = 679,864.94 × 266,301.47
  4. Step 4: Simplify right side
    492,655.97x = 181,049,034,290.25
  5. Step 5: Solve for x
    x = 181,049,034,290.25/492,655.97
  6. Step 6: Final answer
    x = 367,495.87

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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.