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Finding the Fourth Proportional to 299,054.67, 412,683.87 and 170,010.06

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Solution

The fourth proportional to 299,054.67, 412,683.87 and 170,010.06 is: 234,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,054.67 : 412,683.87 = 170,010.06 : x
  2. Step 2: Convert to fraction form
    299,054.67/412,683.87 = 170,010.06/x
  3. Step 3: Cross multiply
    299,054.67x = 412,683.87 × 170,010.06
  4. Step 4: Simplify right side
    299,054.67x = 70,160,409,499.73
  5. Step 5: Solve for x
    x = 70,160,409,499.73/299,054.67
  6. Step 6: Final answer
    x = 234,607.30

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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.