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Finding the Fourth Proportional to 497,167.74, 686,059.18 and 293,171.90

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Solution

The fourth proportional to 497,167.74, 686,059.18 and 293,171.90 is: 404,558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,167.74 : 686,059.18 = 293,171.90 : x
  2. Step 2: Convert to fraction form
    497,167.74/686,059.18 = 293,171.90/x
  3. Step 3: Cross multiply
    497,167.74x = 686,059.18 × 293,171.90
  4. Step 4: Simplify right side
    497,167.74x = 201,133,269,149.82
  5. Step 5: Solve for x
    x = 201,133,269,149.82/497,167.74
  6. Step 6: Final answer
    x = 404,558.17

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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.