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Finding the Fourth Proportional to 522,259.50, 720,747.27 and 295,977.90

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Solution

The fourth proportional to 522,259.50, 720,747.27 and 295,977.90 is: 408,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,259.50 : 720,747.27 = 295,977.90 : x
  2. Step 2: Convert to fraction form
    522,259.50/720,747.27 = 295,977.90/x
  3. Step 3: Cross multiply
    522,259.50x = 720,747.27 × 295,977.90
  4. Step 4: Simplify right side
    522,259.50x = 213,325,263,405.33
  5. Step 5: Solve for x
    x = 213,325,263,405.33/522,259.50
  6. Step 6: Final answer
    x = 408,466.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.