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Finding the Fourth Proportional to 511,074.56, 705,297.48 and 284,734.64

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Solution

The fourth proportional to 511,074.56, 705,297.48 and 284,734.64 is: 392,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,074.56 : 705,297.48 = 284,734.64 : x
  2. Step 2: Convert to fraction form
    511,074.56/705,297.48 = 284,734.64/x
  3. Step 3: Cross multiply
    511,074.56x = 705,297.48 × 284,734.64
  4. Step 4: Simplify right side
    511,074.56x = 200,822,624,756.20
  5. Step 5: Solve for x
    x = 200,822,624,756.20/511,074.56
  6. Step 6: Final answer
    x = 392,941.93

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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.