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Finding the Fourth Proportional to 447,212.16, 670,675.92 and 147,636.96

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Solution

The fourth proportional to 447,212.16, 670,675.92 and 147,636.96 is: 221,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,212.16 : 670,675.92 = 147,636.96 : x
  2. Step 2: Convert to fraction form
    447,212.16/670,675.92 = 147,636.96/x
  3. Step 3: Cross multiply
    447,212.16x = 670,675.92 × 147,636.96
  4. Step 4: Simplify right side
    447,212.16x = 99,016,553,974.00
  5. Step 5: Solve for x
    x = 99,016,553,974.00/447,212.16
  6. Step 6: Final answer
    x = 221,408.46

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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.