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Finding the Fourth Proportional to 505,853.51, 698,223.30 and 333,896.99

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Solution

The fourth proportional to 505,853.51, 698,223.30 and 333,896.99 is: 460,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,853.51 : 698,223.30 = 333,896.99 : x
  2. Step 2: Convert to fraction form
    505,853.51/698,223.30 = 333,896.99/x
  3. Step 3: Cross multiply
    505,853.51x = 698,223.30 × 333,896.99
  4. Step 4: Simplify right side
    505,853.51x = 233,134,658,217.87
  5. Step 5: Solve for x
    x = 233,134,658,217.87/505,853.51
  6. Step 6: Final answer
    x = 460,873.86

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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.