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Finding the Fourth Proportional to 546,209.88, 819,137.52 and 209,232.60

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Solution

The fourth proportional to 546,209.88, 819,137.52 and 209,232.60 is: 313,780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,209.88 : 819,137.52 = 209,232.60 : x
  2. Step 2: Convert to fraction form
    546,209.88/819,137.52 = 209,232.60/x
  3. Step 3: Cross multiply
    546,209.88x = 819,137.52 × 209,232.60
  4. Step 4: Simplify right side
    546,209.88x = 171,390,273,067.15
  5. Step 5: Solve for x
    x = 171,390,273,067.15/546,209.88
  6. Step 6: Final answer
    x = 313,780.98

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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.