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Finding the Fourth Proportional to 294,193.36, 404,712.85 and 257,730.61

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Solution

The fourth proportional to 294,193.36, 404,712.85 and 257,730.61 is: 354,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,193.36 : 404,712.85 = 257,730.61 : x
  2. Step 2: Convert to fraction form
    294,193.36/404,712.85 = 257,730.61/x
  3. Step 3: Cross multiply
    294,193.36x = 404,712.85 × 257,730.61
  4. Step 4: Simplify right side
    294,193.36x = 104,306,886,899.01
  5. Step 5: Solve for x
    x = 104,306,886,899.01/294,193.36
  6. Step 6: Final answer
    x = 354,552.14

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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.