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Finding the Fourth Proportional to 304,796.08, 457,027.46 and 242,019.46

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Solution

The fourth proportional to 304,796.08, 457,027.46 and 242,019.46 is: 362,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,796.08 : 457,027.46 = 242,019.46 : x
  2. Step 2: Convert to fraction form
    304,796.08/457,027.46 = 242,019.46/x
  3. Step 3: Cross multiply
    304,796.08x = 457,027.46 × 242,019.46
  4. Step 4: Simplify right side
    304,796.08x = 110,609,539,074.37
  5. Step 5: Solve for x
    x = 110,609,539,074.37/304,796.08
  6. Step 6: Final answer
    x = 362,896.86

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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.