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Finding the Fourth Proportional to 340,996.44, 470,557.98 and 190,064.28

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Solution

The fourth proportional to 340,996.44, 470,557.98 and 190,064.28 is: 262,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,996.44 : 470,557.98 = 190,064.28 : x
  2. Step 2: Convert to fraction form
    340,996.44/470,557.98 = 190,064.28/x
  3. Step 3: Cross multiply
    340,996.44x = 470,557.98 × 190,064.28
  4. Step 4: Simplify right side
    340,996.44x = 89,436,263,666.95
  5. Step 5: Solve for x
    x = 89,436,263,666.95/340,996.44
  6. Step 6: Final answer
    x = 262,279.17

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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.