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Finding the Fourth Proportional to 340,764.13, 470,334.64 and 211,800

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Solution

The fourth proportional to 340,764.13, 470,334.64 and 211,800 is: 292,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,764.13 : 470,334.64 = 211,800 : x
  2. Step 2: Convert to fraction form
    340,764.13/470,334.64 = 211,800/x
  3. Step 3: Cross multiply
    340,764.13x = 470,334.64 × 211,800
  4. Step 4: Simplify right side
    340,764.13x = 99,616,875,693
  5. Step 5: Solve for x
    x = 99,616,875,693/340,764.13
  6. Step 6: Final answer
    x = 292,333.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.