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Finding the Fourth Proportional to 546,850.70, 819,692.85 and 209,761.10

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Solution

The fourth proportional to 546,850.70, 819,692.85 and 209,761.10 is: 314,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,850.70 : 819,692.85 = 209,761.10 : x
  2. Step 2: Convert to fraction form
    546,850.70/819,692.85 = 209,761.10/x
  3. Step 3: Cross multiply
    546,850.70x = 819,692.85 × 209,761.10
  4. Step 4: Simplify right side
    546,850.70x = 171,939,673,878.14
  5. Step 5: Solve for x
    x = 171,939,673,878.14/546,850.70
  6. Step 6: Final answer
    x = 314,417.95

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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.