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Finding the Fourth Proportional to 511,941.74, 706,620.12 and 297,151.01

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Solution

The fourth proportional to 511,941.74, 706,620.12 and 297,151.01 is: 410,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,941.74 : 706,620.12 = 297,151.01 : x
  2. Step 2: Convert to fraction form
    511,941.74/706,620.12 = 297,151.01/x
  3. Step 3: Cross multiply
    511,941.74x = 706,620.12 × 297,151.01
  4. Step 4: Simplify right side
    511,941.74x = 209,972,882,344.32
  5. Step 5: Solve for x
    x = 209,972,882,344.32/511,941.74
  6. Step 6: Final answer
    x = 410,149.96

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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.