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Finding the Fourth Proportional to 294,195.36, 404,715.60 and 257,732.61

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Solution

The fourth proportional to 294,195.36, 404,715.60 and 257,732.61 is: 354,554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,195.36 : 404,715.60 = 257,732.61 : x
  2. Step 2: Convert to fraction form
    294,195.36/404,715.60 = 257,732.61/x
  3. Step 3: Cross multiply
    294,195.36x = 404,715.60 × 257,732.61
  4. Step 4: Simplify right side
    294,195.36x = 104,308,407,895.72
  5. Step 5: Solve for x
    x = 104,308,407,895.72/294,195.36
  6. Step 6: Final answer
    x = 354,554.90

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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.