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Finding the Fourth Proportional to 340,583.94, 470,005.84 and 189,680.94

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Solution

The fourth proportional to 340,583.94, 470,005.84 and 189,680.94 is: 261,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,583.94 : 470,005.84 = 189,680.94 : x
  2. Step 2: Convert to fraction form
    340,583.94/470,005.84 = 189,680.94/x
  3. Step 3: Cross multiply
    340,583.94x = 470,005.84 × 189,680.94
  4. Step 4: Simplify right side
    340,583.94x = 89,151,149,536.69
  5. Step 5: Solve for x
    x = 89,151,149,536.69/340,583.94
  6. Step 6: Final answer
    x = 261,759.70

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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.