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Finding the Fourth Proportional to 497,264.33, 686,307.93 and 293,365.80

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Solution

The fourth proportional to 497,264.33, 686,307.93 and 293,365.80 is: 404,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,264.33 : 686,307.93 = 293,365.80 : x
  2. Step 2: Convert to fraction form
    497,264.33/686,307.93 = 293,365.80/x
  3. Step 3: Cross multiply
    497,264.33x = 686,307.93 × 293,365.80
  4. Step 4: Simplify right side
    497,264.33x = 201,339,274,930.79
  5. Step 5: Solve for x
    x = 201,339,274,930.79/497,264.33
  6. Step 6: Final answer
    x = 404,893.87

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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.