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Finding the Fourth Proportional to 497,257.96, 686,298.29 and 293,358.79

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Solution

The fourth proportional to 497,257.96, 686,298.29 and 293,358.79 is: 404,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,257.96 : 686,298.29 = 293,358.79 : x
  2. Step 2: Convert to fraction form
    497,257.96/686,298.29 = 293,358.79/x
  3. Step 3: Cross multiply
    497,257.96x = 686,298.29 × 293,358.79
  4. Step 4: Simplify right side
    497,257.96x = 201,331,635,869.55
  5. Step 5: Solve for x
    x = 201,331,635,869.55/497,257.96
  6. Step 6: Final answer
    x = 404,883.68

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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.