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Finding the Fourth Proportional to 310,491.84, 465,292.80 and 177,096

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Solution

The fourth proportional to 310,491.84, 465,292.80 and 177,096 is: 265,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,491.84 : 465,292.80 = 177,096 : x
  2. Step 2: Convert to fraction form
    310,491.84/465,292.80 = 177,096/x
  3. Step 3: Cross multiply
    310,491.84x = 465,292.80 × 177,096
  4. Step 4: Simplify right side
    310,491.84x = 82,401,493,708.80
  5. Step 5: Solve for x
    x = 82,401,493,708.80/310,491.84
  6. Step 6: Final answer
    x = 265,390.21

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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.