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Finding the Fourth Proportional to 341,061.60, 470,667.60 and 188,105.25

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Solution

The fourth proportional to 341,061.60, 470,667.60 and 188,105.25 is: 259,586.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,061.60 : 470,667.60 = 188,105.25 : x
  2. Step 2: Convert to fraction form
    341,061.60/470,667.60 = 188,105.25/x
  3. Step 3: Cross multiply
    341,061.60x = 470,667.60 × 188,105.25
  4. Step 4: Simplify right side
    341,061.60x = 88,535,046,564.90
  5. Step 5: Solve for x
    x = 88,535,046,564.90/341,061.60
  6. Step 6: Final answer
    x = 259,586.67

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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.