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Finding the Fourth Proportional to 340,878.58, 470,452.86 and 204,982.04

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Solution

The fourth proportional to 340,878.58, 470,452.86 and 204,982.04 is: 282,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,878.58 : 470,452.86 = 204,982.04 : x
  2. Step 2: Convert to fraction form
    340,878.58/470,452.86 = 204,982.04/x
  3. Step 3: Cross multiply
    340,878.58x = 470,452.86 × 204,982.04
  4. Step 4: Simplify right side
    340,878.58x = 96,434,388,142.77
  5. Step 5: Solve for x
    x = 96,434,388,142.77/340,878.58
  6. Step 6: Final answer
    x = 282,899.53

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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.