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Finding the Fourth Proportional to 513,884.04, 770,847.12 and 139,907.04

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Solution

The fourth proportional to 513,884.04, 770,847.12 and 139,907.04 is: 209,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,884.04 : 770,847.12 = 139,907.04 : x
  2. Step 2: Convert to fraction form
    513,884.04/770,847.12 = 139,907.04/x
  3. Step 3: Cross multiply
    513,884.04x = 770,847.12 × 139,907.04
  4. Step 4: Simplify right side
    513,884.04x = 107,846,938,851.73
  5. Step 5: Solve for x
    x = 107,846,938,851.73/513,884.04
  6. Step 6: Final answer
    x = 209,866.29

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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.