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Finding the Fourth Proportional to 297,074, 444,495 and 208,500.32

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Solution

The fourth proportional to 297,074, 444,495 and 208,500.32 is: 311,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,074 : 444,495 = 208,500.32 : x
  2. Step 2: Convert to fraction form
    297,074/444,495 = 208,500.32/x
  3. Step 3: Cross multiply
    297,074x = 444,495 × 208,500.32
  4. Step 4: Simplify right side
    297,074x = 92,677,349,738.40
  5. Step 5: Solve for x
    x = 92,677,349,738.40/297,074
  6. Step 6: Final answer
    x = 311,967.22

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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.