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Finding the Fourth Proportional to 511,270.32, 706,828.50 and 383,724.48

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Solution

The fourth proportional to 511,270.32, 706,828.50 and 383,724.48 is: 530,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,270.32 : 706,828.50 = 383,724.48 : x
  2. Step 2: Convert to fraction form
    511,270.32/706,828.50 = 383,724.48/x
  3. Step 3: Cross multiply
    511,270.32x = 706,828.50 × 383,724.48
  4. Step 4: Simplify right side
    511,270.32x = 271,227,398,611.68
  5. Step 5: Solve for x
    x = 271,227,398,611.68/511,270.32
  6. Step 6: Final answer
    x = 530,497.05

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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.