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Finding the Fourth Proportional to 454,913.06, 680,969.91 and 296,801.06

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Solution

The fourth proportional to 454,913.06, 680,969.91 and 296,801.06 is: 444,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,913.06 : 680,969.91 = 296,801.06 : x
  2. Step 2: Convert to fraction form
    454,913.06/680,969.91 = 296,801.06/x
  3. Step 3: Cross multiply
    454,913.06x = 680,969.91 × 296,801.06
  4. Step 4: Simplify right side
    454,913.06x = 202,112,591,116.11
  5. Step 5: Solve for x
    x = 202,112,591,116.11/454,913.06
  6. Step 6: Final answer
    x = 444,288.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.