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Finding the Fourth Proportional to 296,926, 444,273 and 208,352.32

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Solution

The fourth proportional to 296,926, 444,273 and 208,352.32 is: 311,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,926 : 444,273 = 208,352.32 : x
  2. Step 2: Convert to fraction form
    296,926/444,273 = 208,352.32/x
  3. Step 3: Cross multiply
    296,926x = 444,273 × 208,352.32
  4. Step 4: Simplify right side
    296,926x = 92,565,310,263.36
  5. Step 5: Solve for x
    x = 92,565,310,263.36/296,926
  6. Step 6: Final answer
    x = 311,745.39

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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.