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Finding the Fourth Proportional to 497,882.73, 686,975.13 and 291,111.33

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Solution

The fourth proportional to 497,882.73, 686,975.13 and 291,111.33 is: 401,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,882.73 : 686,975.13 = 291,111.33 : x
  2. Step 2: Convert to fraction form
    497,882.73/686,975.13 = 291,111.33/x
  3. Step 3: Cross multiply
    497,882.73x = 686,975.13 × 291,111.33
  4. Step 4: Simplify right side
    497,882.73x = 199,986,243,771.22
  5. Step 5: Solve for x
    x = 199,986,243,771.22/497,882.73
  6. Step 6: Final answer
    x = 401,673.39

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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.