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Finding the Fourth Proportional to 296,927, 444,274.50 and 208,353.32

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Solution

The fourth proportional to 296,927, 444,274.50 and 208,353.32 is: 311,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,927 : 444,274.50 = 208,353.32 : x
  2. Step 2: Convert to fraction form
    296,927/444,274.50 = 208,353.32/x
  3. Step 3: Cross multiply
    296,927x = 444,274.50 × 208,353.32
  4. Step 4: Simplify right side
    296,927x = 92,566,067,066.34
  5. Step 5: Solve for x
    x = 92,566,067,066.34/296,927
  6. Step 6: Final answer
    x = 311,746.88

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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.