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Finding the Fourth Proportional to 340,633.96, 470,052.29 and 204,673.63

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Solution

The fourth proportional to 340,633.96, 470,052.29 and 204,673.63 is: 282,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,633.96 : 470,052.29 = 204,673.63 : x
  2. Step 2: Convert to fraction form
    340,633.96/470,052.29 = 204,673.63/x
  3. Step 3: Cross multiply
    340,633.96x = 470,052.29 × 204,673.63
  4. Step 4: Simplify right side
    340,633.96x = 96,207,305,110.48
  5. Step 5: Solve for x
    x = 96,207,305,110.48/340,633.96
  6. Step 6: Final answer
    x = 282,436.04

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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.