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Finding the Fourth Proportional to 366,160.56, 505,302.84 and 205,022.64

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Solution

The fourth proportional to 366,160.56, 505,302.84 and 205,022.64 is: 282,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,160.56 : 505,302.84 = 205,022.64 : x
  2. Step 2: Convert to fraction form
    366,160.56/505,302.84 = 205,022.64/x
  3. Step 3: Cross multiply
    366,160.56x = 505,302.84 × 205,022.64
  4. Step 4: Simplify right side
    366,160.56x = 103,598,522,256.30
  5. Step 5: Solve for x
    x = 103,598,522,256.30/366,160.56
  6. Step 6: Final answer
    x = 282,931.95

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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.