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Finding the Fourth Proportional to 546,780.70, 820,171.05 and 191,830.60

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Solution

The fourth proportional to 546,780.70, 820,171.05 and 191,830.60 is: 287,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,780.70 : 820,171.05 = 191,830.60 : x
  2. Step 2: Convert to fraction form
    546,780.70/820,171.05 = 191,830.60/x
  3. Step 3: Cross multiply
    546,780.70x = 820,171.05 × 191,830.60
  4. Step 4: Simplify right side
    546,780.70x = 157,333,904,624.13
  5. Step 5: Solve for x
    x = 157,333,904,624.13/546,780.70
  6. Step 6: Final answer
    x = 287,745.90

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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.