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Finding the Fourth Proportional to 355,150.41, 490,122.47 and 204,247.53

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Solution

The fourth proportional to 355,150.41, 490,122.47 and 204,247.53 is: 281,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,150.41 : 490,122.47 = 204,247.53 : x
  2. Step 2: Convert to fraction form
    355,150.41/490,122.47 = 204,247.53/x
  3. Step 3: Cross multiply
    355,150.41x = 490,122.47 × 204,247.53
  4. Step 4: Simplify right side
    355,150.41x = 100,106,302,873.76
  5. Step 5: Solve for x
    x = 100,106,302,873.76/355,150.41
  6. Step 6: Final answer
    x = 281,870.16

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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.