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Finding the Fourth Proportional to 340,914.42, 470,465.16 and 187,958.07

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Solution

The fourth proportional to 340,914.42, 470,465.16 and 187,958.07 is: 259,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,914.42 : 470,465.16 = 187,958.07 : x
  2. Step 2: Convert to fraction form
    340,914.42/470,465.16 = 187,958.07/x
  3. Step 3: Cross multiply
    340,914.42x = 470,465.16 × 187,958.07
  4. Step 4: Simplify right side
    340,914.42x = 88,427,723,828.26
  5. Step 5: Solve for x
    x = 88,427,723,828.26/340,914.42
  6. Step 6: Final answer
    x = 259,383.94

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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.