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Finding the Fourth Proportional to 365,723.56, 504,696.18 and 204,577.84

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Solution

The fourth proportional to 365,723.56, 504,696.18 and 204,577.84 is: 282,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,723.56 : 504,696.18 = 204,577.84 : x
  2. Step 2: Convert to fraction form
    365,723.56/504,696.18 = 204,577.84/x
  3. Step 3: Cross multiply
    365,723.56x = 504,696.18 × 204,577.84
  4. Step 4: Simplify right side
    365,723.56x = 103,249,654,360.65
  5. Step 5: Solve for x
    x = 103,249,654,360.65/365,723.56
  6. Step 6: Final answer
    x = 282,316.11

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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.