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Finding the Fourth Proportional to 340,861.96, 470,392.68 and 187,906.02

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Solution

The fourth proportional to 340,861.96, 470,392.68 and 187,906.02 is: 259,312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,861.96 : 470,392.68 = 187,906.02 : x
  2. Step 2: Convert to fraction form
    340,861.96/470,392.68 = 187,906.02/x
  3. Step 3: Cross multiply
    340,861.96x = 470,392.68 × 187,906.02
  4. Step 4: Simplify right side
    340,861.96x = 88,389,616,335.93
  5. Step 5: Solve for x
    x = 88,389,616,335.93/340,861.96
  6. Step 6: Final answer
    x = 259,312.06

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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.