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Finding the Fourth Proportional to 365,989.09, 504,949.80 and 204,818.53

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Solution

The fourth proportional to 365,989.09, 504,949.80 and 204,818.53 is: 282,585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,989.09 : 504,949.80 = 204,818.53 : x
  2. Step 2: Convert to fraction form
    365,989.09/504,949.80 = 204,818.53/x
  3. Step 3: Cross multiply
    365,989.09x = 504,949.80 × 204,818.53
  4. Step 4: Simplify right side
    365,989.09x = 103,423,075,759.79
  5. Step 5: Solve for x
    x = 103,423,075,759.79/365,989.09
  6. Step 6: Final answer
    x = 282,585.13

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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.