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Finding the Fourth Proportional to 294,193.11, 404,712.50 and 257,730.36

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Solution

The fourth proportional to 294,193.11, 404,712.50 and 257,730.36 is: 354,551.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,193.11 : 404,712.50 = 257,730.36 : x
  2. Step 2: Convert to fraction form
    294,193.11/404,712.50 = 257,730.36/x
  3. Step 3: Cross multiply
    294,193.11x = 404,712.50 × 257,730.36
  4. Step 4: Simplify right side
    294,193.11x = 104,306,696,964.91
  5. Step 5: Solve for x
    x = 104,306,696,964.91/294,193.11
  6. Step 6: Final answer
    x = 354,551.80

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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.