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Finding the Fourth Proportional to 550,999.12, 825,710.22 and 313,852.24

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Solution

The fourth proportional to 550,999.12, 825,710.22 and 313,852.24 is: 470,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,999.12 : 825,710.22 = 313,852.24 : x
  2. Step 2: Convert to fraction form
    550,999.12/825,710.22 = 313,852.24/x
  3. Step 3: Cross multiply
    550,999.12x = 825,710.22 × 313,852.24
  4. Step 4: Simplify right side
    550,999.12x = 259,151,002,137.89
  5. Step 5: Solve for x
    x = 259,151,002,137.89/550,999.12
  6. Step 6: Final answer
    x = 470,329.25

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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.