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Finding the Fourth Proportional to 309,571.96, 464,061.70 and 196,903.12

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Solution

The fourth proportional to 309,571.96, 464,061.70 and 196,903.12 is: 295,166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,571.96 : 464,061.70 = 196,903.12 : x
  2. Step 2: Convert to fraction form
    309,571.96/464,061.70 = 196,903.12/x
  3. Step 3: Cross multiply
    309,571.96x = 464,061.70 × 196,903.12
  4. Step 4: Simplify right side
    309,571.96x = 91,375,196,602.50
  5. Step 5: Solve for x
    x = 91,375,196,602.50/309,571.96
  6. Step 6: Final answer
    x = 295,166.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.