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Finding the Fourth Proportional to 546,648.12, 819,892.90 and 209,773.57

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Solution

The fourth proportional to 546,648.12, 819,892.90 and 209,773.57 is: 314,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,648.12 : 819,892.90 = 209,773.57 : x
  2. Step 2: Convert to fraction form
    546,648.12/819,892.90 = 209,773.57/x
  3. Step 3: Cross multiply
    546,648.12x = 819,892.90 × 209,773.57
  4. Step 4: Simplify right side
    546,648.12x = 171,991,860,650.65
  5. Step 5: Solve for x
    x = 171,991,860,650.65/546,648.12
  6. Step 6: Final answer
    x = 314,629.93

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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.