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Finding the Fourth Proportional to 446,744.09, 670,199.15 and 147,245.71

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Solution

The fourth proportional to 446,744.09, 670,199.15 and 147,245.71 is: 220,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,744.09 : 670,199.15 = 147,245.71 : x
  2. Step 2: Convert to fraction form
    446,744.09/670,199.15 = 147,245.71/x
  3. Step 3: Cross multiply
    446,744.09x = 670,199.15 × 147,245.71
  4. Step 4: Simplify right side
    446,744.09x = 98,683,949,683.15
  5. Step 5: Solve for x
    x = 98,683,949,683.15/446,744.09
  6. Step 6: Final answer
    x = 220,895.93

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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.