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Finding the Fourth Proportional to 298,564.48, 411,991.87 and 177,686.26

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Solution

The fourth proportional to 298,564.48, 411,991.87 and 177,686.26 is: 245,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,564.48 : 411,991.87 = 177,686.26 : x
  2. Step 2: Convert to fraction form
    298,564.48/411,991.87 = 177,686.26/x
  3. Step 3: Cross multiply
    298,564.48x = 411,991.87 × 177,686.26
  4. Step 4: Simplify right side
    298,564.48x = 73,205,293,389.67
  5. Step 5: Solve for x
    x = 73,205,293,389.67/298,564.48
  6. Step 6: Final answer
    x = 245,190.90

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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.