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Finding the Fourth Proportional to 333,927.20, 460,818.50 and 180,969.78

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Solution

The fourth proportional to 333,927.20, 460,818.50 and 180,969.78 is: 249,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,927.20 : 460,818.50 = 180,969.78 : x
  2. Step 2: Convert to fraction form
    333,927.20/460,818.50 = 180,969.78/x
  3. Step 3: Cross multiply
    333,927.20x = 460,818.50 × 180,969.78
  4. Step 4: Simplify right side
    333,927.20x = 83,394,222,564.93
  5. Step 5: Solve for x
    x = 83,394,222,564.93/333,927.20
  6. Step 6: Final answer
    x = 249,737.73

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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.