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Finding the Fourth Proportional to 521,893.30, 781,511 and 343,860.56

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Solution

The fourth proportional to 521,893.30, 781,511 and 343,860.56 is: 514,915.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,893.30 : 781,511 = 343,860.56 : x
  2. Step 2: Convert to fraction form
    521,893.30/781,511 = 343,860.56/x
  3. Step 3: Cross multiply
    521,893.30x = 781,511 × 343,860.56
  4. Step 4: Simplify right side
    521,893.30x = 268,730,810,106.16
  5. Step 5: Solve for x
    x = 268,730,810,106.16/521,893.30
  6. Step 6: Final answer
    x = 514,915.23

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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.