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Finding the Fourth Proportional to 341,249.32, 470,665.38 and 205,273

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Solution

The fourth proportional to 341,249.32, 470,665.38 and 205,273 is: 283,121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,249.32 : 470,665.38 = 205,273 : x
  2. Step 2: Convert to fraction form
    341,249.32/470,665.38 = 205,273/x
  3. Step 3: Cross multiply
    341,249.32x = 470,665.38 × 205,273
  4. Step 4: Simplify right side
    341,249.32x = 96,614,894,548.74
  5. Step 5: Solve for x
    x = 96,614,894,548.74/341,249.32
  6. Step 6: Final answer
    x = 283,121.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.