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Finding the Fourth Proportional to 511,846.11, 706,362.80 and 285,486.75

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Solution

The fourth proportional to 511,846.11, 706,362.80 and 285,486.75 is: 393,980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,846.11 : 706,362.80 = 285,486.75 : x
  2. Step 2: Convert to fraction form
    511,846.11/706,362.80 = 285,486.75/x
  3. Step 3: Cross multiply
    511,846.11x = 706,362.80 × 285,486.75
  4. Step 4: Simplify right side
    511,846.11x = 201,657,218,665.47
  5. Step 5: Solve for x
    x = 201,657,218,665.47/511,846.11
  6. Step 6: Final answer
    x = 393,980.17

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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.