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Finding the Fourth Proportional to 461,634.27, 637,087.32 and 257,725.28

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Solution

The fourth proportional to 461,634.27, 637,087.32 and 257,725.28 is: 355,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,634.27 : 637,087.32 = 257,725.28 : x
  2. Step 2: Convert to fraction form
    461,634.27/637,087.32 = 257,725.28/x
  3. Step 3: Cross multiply
    461,634.27x = 637,087.32 × 257,725.28
  4. Step 4: Simplify right side
    461,634.27x = 164,193,504,746.01
  5. Step 5: Solve for x
    x = 164,193,504,746.01/461,634.27
  6. Step 6: Final answer
    x = 355,678.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.