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Finding the Fourth Proportional to 298,964.26, 412,570.68 and 164,828.26

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Solution

The fourth proportional to 298,964.26, 412,570.68 and 164,828.26 is: 227,463.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,964.26 : 412,570.68 = 164,828.26 : x
  2. Step 2: Convert to fraction form
    298,964.26/412,570.68 = 164,828.26/x
  3. Step 3: Cross multiply
    298,964.26x = 412,570.68 × 164,828.26
  4. Step 4: Simplify right side
    298,964.26x = 68,003,307,311.42
  5. Step 5: Solve for x
    x = 68,003,307,311.42/298,964.26
  6. Step 6: Final answer
    x = 227,463.00

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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.