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Finding the Fourth Proportional to 340,808.35, 470,350.52 and 204,886.30

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Solution

The fourth proportional to 340,808.35, 470,350.52 and 204,886.30 is: 282,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,808.35 : 470,350.52 = 204,886.30 : x
  2. Step 2: Convert to fraction form
    340,808.35/470,350.52 = 204,886.30/x
  3. Step 3: Cross multiply
    340,808.35x = 470,350.52 × 204,886.30
  4. Step 4: Simplify right side
    340,808.35x = 96,368,377,745.88
  5. Step 5: Solve for x
    x = 96,368,377,745.88/340,808.35
  6. Step 6: Final answer
    x = 282,764.13

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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.