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Finding the Fourth Proportional to 511,803.84, 706,290.24 and 285,463.92

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Solution

The fourth proportional to 511,803.84, 706,290.24 and 285,463.92 is: 393,940.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,803.84 : 706,290.24 = 285,463.92 : x
  2. Step 2: Convert to fraction form
    511,803.84/706,290.24 = 285,463.92/x
  3. Step 3: Cross multiply
    511,803.84x = 706,290.24 × 285,463.92
  4. Step 4: Simplify right side
    511,803.84x = 201,620,380,568.14
  5. Step 5: Solve for x
    x = 201,620,380,568.14/511,803.84
  6. Step 6: Final answer
    x = 393,940.73

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1.5x scale

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.