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Finding the Fourth Proportional to 365,795.89, 504,817.93 and 204,641.32

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Solution

The fourth proportional to 365,795.89, 504,817.93 and 204,641.32 is: 282,415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,795.89 : 504,817.93 = 204,641.32 : x
  2. Step 2: Convert to fraction form
    365,795.89/504,817.93 = 204,641.32/x
  3. Step 3: Cross multiply
    365,795.89x = 504,817.93 × 204,641.32
  4. Step 4: Simplify right side
    365,795.89x = 103,306,607,554.87
  5. Step 5: Solve for x
    x = 103,306,607,554.87/365,795.89
  6. Step 6: Final answer
    x = 282,415.99

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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.