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Finding the Fourth Proportional to 484,012.94, 726,057.84 and 147,083.02

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Solution

The fourth proportional to 484,012.94, 726,057.84 and 147,083.02 is: 220,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,012.94 : 726,057.84 = 147,083.02 : x
  2. Step 2: Convert to fraction form
    484,012.94/726,057.84 = 147,083.02/x
  3. Step 3: Cross multiply
    484,012.94x = 726,057.84 × 147,083.02
  4. Step 4: Simplify right side
    484,012.94x = 106,790,779,801.88
  5. Step 5: Solve for x
    x = 106,790,779,801.88/484,012.94
  6. Step 6: Final answer
    x = 220,636.21

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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.