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Finding the Fourth Proportional to 447,161.03, 670,763.07 and 147,634.98

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Solution

The fourth proportional to 447,161.03, 670,763.07 and 147,634.98 is: 221,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,161.03 : 670,763.07 = 147,634.98 : x
  2. Step 2: Convert to fraction form
    447,161.03/670,763.07 = 147,634.98/x
  3. Step 3: Cross multiply
    447,161.03x = 670,763.07 × 147,634.98
  4. Step 4: Simplify right side
    447,161.03x = 99,028,089,908.83
  5. Step 5: Solve for x
    x = 99,028,089,908.83/447,161.03
  6. Step 6: Final answer
    x = 221,459.57

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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.