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Finding the Fourth Proportional to 365,762.61, 504,732.06 and 204,586.56

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Solution

The fourth proportional to 365,762.61, 504,732.06 and 204,586.56 is: 282,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,762.61 : 504,732.06 = 204,586.56 : x
  2. Step 2: Convert to fraction form
    365,762.61/504,732.06 = 204,586.56/x
  3. Step 3: Cross multiply
    365,762.61x = 504,732.06 × 204,586.56
  4. Step 4: Simplify right side
    365,762.61x = 103,261,395,877.11
  5. Step 5: Solve for x
    x = 103,261,395,877.11/365,762.61
  6. Step 6: Final answer
    x = 282,318.07

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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.