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Finding the Fourth Proportional to 340,943.88, 470,508.74 and 190,024.68

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Solution

The fourth proportional to 340,943.88, 470,508.74 and 190,024.68 is: 262,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,943.88 : 470,508.74 = 190,024.68 : x
  2. Step 2: Convert to fraction form
    340,943.88/470,508.74 = 190,024.68/x
  3. Step 3: Cross multiply
    340,943.88x = 470,508.74 × 190,024.68
  4. Step 4: Simplify right side
    340,943.88x = 89,408,272,755.70
  5. Step 5: Solve for x
    x = 89,408,272,755.70/340,943.88
  6. Step 6: Final answer
    x = 262,237.51

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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.