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Finding the Fourth Proportional to 505,998.45, 697,825.83 and 419,820.99

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Solution

The fourth proportional to 505,998.45, 697,825.83 and 419,820.99 is: 578,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,998.45 : 697,825.83 = 419,820.99 : x
  2. Step 2: Convert to fraction form
    505,998.45/697,825.83 = 419,820.99/x
  3. Step 3: Cross multiply
    505,998.45x = 697,825.83 × 419,820.99
  4. Step 4: Simplify right side
    505,998.45x = 292,961,930,798.17
  5. Step 5: Solve for x
    x = 292,961,930,798.17/505,998.45
  6. Step 6: Final answer
    x = 578,977.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.