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Finding the Fourth Proportional to 341,225.72, 470,893.17 and 188,263.91

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Solution

The fourth proportional to 341,225.72, 470,893.17 and 188,263.91 is: 259,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,225.72 : 470,893.17 = 188,263.91 : x
  2. Step 2: Convert to fraction form
    341,225.72/470,893.17 = 188,263.91/x
  3. Step 3: Cross multiply
    341,225.72x = 470,893.17 × 188,263.91
  4. Step 4: Simplify right side
    341,225.72x = 88,652,187,022.03
  5. Step 5: Solve for x
    x = 88,652,187,022.03/341,225.72
  6. Step 6: Final answer
    x = 259,805.12

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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.