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Finding the Fourth Proportional to 294,085.40, 405,911.90 and 166,837.40

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Solution

The fourth proportional to 294,085.40, 405,911.90 and 166,837.40 is: 230,277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,085.40 : 405,911.90 = 166,837.40 : x
  2. Step 2: Convert to fraction form
    294,085.40/405,911.90 = 166,837.40/x
  3. Step 3: Cross multiply
    294,085.40x = 405,911.90 × 166,837.40
  4. Step 4: Simplify right side
    294,085.40x = 67,721,286,025.06
  5. Step 5: Solve for x
    x = 67,721,286,025.06/294,085.40
  6. Step 6: Final answer
    x = 230,277.62

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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.