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Finding the Fourth Proportional to 340,706.42, 470,195.70 and 187,744.64

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Solution

The fourth proportional to 340,706.42, 470,195.70 and 187,744.64 is: 259,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,706.42 : 470,195.70 = 187,744.64 : x
  2. Step 2: Convert to fraction form
    340,706.42/470,195.70 = 187,744.64/x
  3. Step 3: Cross multiply
    340,706.42x = 470,195.70 × 187,744.64
  4. Step 4: Simplify right side
    340,706.42x = 88,276,719,371.03
  5. Step 5: Solve for x
    x = 88,276,719,371.03/340,706.42
  6. Step 6: Final answer
    x = 259,099.08

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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.