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Finding the Fourth Proportional to 511,409.63, 768,796.15 and 474,416.30

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Solution

The fourth proportional to 511,409.63, 768,796.15 and 474,416.30 is: 713,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,409.63 : 768,796.15 = 474,416.30 : x
  2. Step 2: Convert to fraction form
    511,409.63/768,796.15 = 474,416.30/x
  3. Step 3: Cross multiply
    511,409.63x = 768,796.15 × 474,416.30
  4. Step 4: Simplify right side
    511,409.63x = 364,729,419,907.22
  5. Step 5: Solve for x
    x = 364,729,419,907.22/511,409.63
  6. Step 6: Final answer
    x = 713,184.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.