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Finding the Fourth Proportional to 550,846.23, 760,173.45 and 305,835

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Solution

The fourth proportional to 550,846.23, 760,173.45 and 305,835 is: 422,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,846.23 : 760,173.45 = 305,835 : x
  2. Step 2: Convert to fraction form
    550,846.23/760,173.45 = 305,835/x
  3. Step 3: Cross multiply
    550,846.23x = 760,173.45 × 305,835
  4. Step 4: Simplify right side
    550,846.23x = 232,487,647,080.75
  5. Step 5: Solve for x
    x = 232,487,647,080.75/550,846.23
  6. Step 6: Final answer
    x = 422,055.44

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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.