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Finding the Fourth Proportional to 365,554.24, 504,462 and 204,409.60

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Solution

The fourth proportional to 365,554.24, 504,462 and 204,409.60 is: 282,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,554.24 : 504,462 = 204,409.60 : x
  2. Step 2: Convert to fraction form
    365,554.24/504,462 = 204,409.60/x
  3. Step 3: Cross multiply
    365,554.24x = 504,462 × 204,409.60
  4. Step 4: Simplify right side
    365,554.24x = 103,116,875,635.20
  5. Step 5: Solve for x
    x = 103,116,875,635.20/365,554.24
  6. Step 6: Final answer
    x = 282,083.65

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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.