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Finding the Fourth Proportional to 472,352.17, 707,400.73 and 261,467.05

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Solution

The fourth proportional to 472,352.17, 707,400.73 and 261,467.05 is: 391,576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,352.17 : 707,400.73 = 261,467.05 : x
  2. Step 2: Convert to fraction form
    472,352.17/707,400.73 = 261,467.05/x
  3. Step 3: Cross multiply
    472,352.17x = 707,400.73 × 261,467.05
  4. Step 4: Simplify right side
    472,352.17x = 184,961,982,040.95
  5. Step 5: Solve for x
    x = 184,961,982,040.95/472,352.17
  6. Step 6: Final answer
    x = 391,576.44

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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.