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Finding the Fourth Proportional to 333,709.26, 460,530.28 and 182,806.26

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Solution

The fourth proportional to 333,709.26, 460,530.28 and 182,806.26 is: 252,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,709.26 : 460,530.28 = 182,806.26 : x
  2. Step 2: Convert to fraction form
    333,709.26/460,530.28 = 182,806.26/x
  3. Step 3: Cross multiply
    333,709.26x = 460,530.28 × 182,806.26
  4. Step 4: Simplify right side
    333,709.26x = 84,187,818,103.55
  5. Step 5: Solve for x
    x = 84,187,818,103.55/333,709.26
  6. Step 6: Final answer
    x = 252,278.94

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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.