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Finding the Fourth Proportional to 340,805.18, 470,331.70 and 187,843.16

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Solution

The fourth proportional to 340,805.18, 470,331.70 and 187,843.16 is: 259,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,805.18 : 470,331.70 = 187,843.16 : x
  2. Step 2: Convert to fraction form
    340,805.18/470,331.70 = 187,843.16/x
  3. Step 3: Cross multiply
    340,805.18x = 470,331.70 × 187,843.16
  4. Step 4: Simplify right side
    340,805.18x = 88,348,592,776.17
  5. Step 5: Solve for x
    x = 88,348,592,776.17/340,805.18
  6. Step 6: Final answer
    x = 259,234.89

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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.