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Finding the Fourth Proportional to 546,206.63, 819,309.94 and 172,229.63

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Solution

The fourth proportional to 546,206.63, 819,309.94 and 172,229.63 is: 258,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,206.63 : 819,309.94 = 172,229.63 : x
  2. Step 2: Convert to fraction form
    546,206.63/819,309.94 = 172,229.63/x
  3. Step 3: Cross multiply
    546,206.63x = 819,309.94 × 172,229.63
  4. Step 4: Simplify right side
    546,206.63x = 141,109,443,294.40
  5. Step 5: Solve for x
    x = 141,109,443,294.40/546,206.63
  6. Step 6: Final answer
    x = 258,344.44

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Similar ratio
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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.