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Finding the Fourth Proportional to 511,895.88, 706,435.56 and 285,585.12

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Solution

The fourth proportional to 511,895.88, 706,435.56 and 285,585.12 is: 394,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,895.88 : 706,435.56 = 285,585.12 : x
  2. Step 2: Convert to fraction form
    511,895.88/706,435.56 = 285,585.12/x
  3. Step 3: Cross multiply
    511,895.88x = 706,435.56 × 285,585.12
  4. Step 4: Simplify right side
    511,895.88x = 201,747,484,174.87
  5. Step 5: Solve for x
    x = 201,747,484,174.87/511,895.88
  6. Step 6: Final answer
    x = 394,118.20

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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.