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Finding the Fourth Proportional to 541,903.90, 811,981.05 and 341,866.30

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Solution

The fourth proportional to 541,903.90, 811,981.05 and 341,866.30 is: 512,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,903.90 : 811,981.05 = 341,866.30 : x
  2. Step 2: Convert to fraction form
    541,903.90/811,981.05 = 341,866.30/x
  3. Step 3: Cross multiply
    541,903.90x = 811,981.05 × 341,866.30
  4. Step 4: Simplify right side
    541,903.90x = 277,588,957,233.62
  5. Step 5: Solve for x
    x = 277,588,957,233.62/541,903.90
  6. Step 6: Final answer
    x = 512,247.57

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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.