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Finding the Fourth Proportional to 511,912.80, 706,580.18 and 297,122.06

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Solution

The fourth proportional to 511,912.80, 706,580.18 and 297,122.06 is: 410,110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,912.80 : 706,580.18 = 297,122.06 : x
  2. Step 2: Convert to fraction form
    511,912.80/706,580.18 = 297,122.06/x
  3. Step 3: Cross multiply
    511,912.80x = 706,580.18 × 297,122.06
  4. Step 4: Simplify right side
    511,912.80x = 209,940,561,146.03
  5. Step 5: Solve for x
    x = 209,940,561,146.03/511,912.80
  6. Step 6: Final answer
    x = 410,110.01

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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.