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Finding the Fourth Proportional to 310,494.84, 465,297.30 and 177,099

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Solution

The fourth proportional to 310,494.84, 465,297.30 and 177,099 is: 265,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,494.84 : 465,297.30 = 177,099 : x
  2. Step 2: Convert to fraction form
    310,494.84/465,297.30 = 177,099/x
  3. Step 3: Cross multiply
    310,494.84x = 465,297.30 × 177,099
  4. Step 4: Simplify right side
    310,494.84x = 82,403,686,532.70
  5. Step 5: Solve for x
    x = 82,403,686,532.70/310,494.84
  6. Step 6: Final answer
    x = 265,394.71

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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.