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Finding the Fourth Proportional to 298,119.12, 411,259.84 and 177,174.80

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Solution

The fourth proportional to 298,119.12, 411,259.84 and 177,174.80 is: 244,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,119.12 : 411,259.84 = 177,174.80 : x
  2. Step 2: Convert to fraction form
    298,119.12/411,259.84 = 177,174.80/x
  3. Step 3: Cross multiply
    298,119.12x = 411,259.84 × 177,174.80
  4. Step 4: Simplify right side
    298,119.12x = 72,864,879,900.03
  5. Step 5: Solve for x
    x = 72,864,879,900.03/298,119.12
  6. Step 6: Final answer
    x = 244,415.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.