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Finding the Fourth Proportional to 465,343.46, 697,858.22 and 177,086.70

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Solution

The fourth proportional to 465,343.46, 697,858.22 and 177,086.70 is: 265,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,343.46 : 697,858.22 = 177,086.70 : x
  2. Step 2: Convert to fraction form
    465,343.46/697,858.22 = 177,086.70/x
  3. Step 3: Cross multiply
    465,343.46x = 697,858.22 × 177,086.70
  4. Step 4: Simplify right side
    465,343.46x = 123,581,409,247.67
  5. Step 5: Solve for x
    x = 123,581,409,247.67/465,343.46
  6. Step 6: Final answer
    x = 265,570.31

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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.