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Finding the Fourth Proportional to 311,268.40, 466,902.60 and 284,696.35

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Solution

The fourth proportional to 311,268.40, 466,902.60 and 284,696.35 is: 427,044.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,268.40 : 466,902.60 = 284,696.35 : x
  2. Step 2: Convert to fraction form
    311,268.40/466,902.60 = 284,696.35/x
  3. Step 3: Cross multiply
    311,268.40x = 466,902.60 × 284,696.35
  4. Step 4: Simplify right side
    311,268.40x = 132,925,466,025.51
  5. Step 5: Solve for x
    x = 132,925,466,025.51/311,268.40
  6. Step 6: Final answer
    x = 427,044.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.