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Finding the Fourth Proportional to 472,843.14, 708,331.59 and 354,647.94

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Solution

The fourth proportional to 472,843.14, 708,331.59 and 354,647.94 is: 531,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,843.14 : 708,331.59 = 354,647.94 : x
  2. Step 2: Convert to fraction form
    472,843.14/708,331.59 = 354,647.94/x
  3. Step 3: Cross multiply
    472,843.14x = 708,331.59 × 354,647.94
  4. Step 4: Simplify right side
    472,843.14x = 251,208,339,230.43
  5. Step 5: Solve for x
    x = 251,208,339,230.43/472,843.14
  6. Step 6: Final answer
    x = 531,272.04

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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.