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Finding the Fourth Proportional to 521,893.49, 781,511.01 and 343,860.89

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Solution

The fourth proportional to 521,893.49, 781,511.01 and 343,860.89 is: 514,915.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,893.49 : 781,511.01 = 343,860.89 : x
  2. Step 2: Convert to fraction form
    521,893.49/781,511.01 = 343,860.89/x
  3. Step 3: Cross multiply
    521,893.49x = 781,511.01 × 343,860.89
  4. Step 4: Simplify right side
    521,893.49x = 268,731,067,535.84
  5. Step 5: Solve for x
    x = 268,731,067,535.84/521,893.49
  6. Step 6: Final answer
    x = 514,915.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.