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Finding the Fourth Proportional to 446,903.62, 670,375.81 and 147,410.30

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Solution

The fourth proportional to 446,903.62, 670,375.81 and 147,410.30 is: 221,122.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,903.62 : 670,375.81 = 147,410.30 : x
  2. Step 2: Convert to fraction form
    446,903.62/670,375.81 = 147,410.30/x
  3. Step 3: Cross multiply
    446,903.62x = 670,375.81 × 147,410.30
  4. Step 4: Simplify right side
    446,903.62x = 98,820,301,125.05
  5. Step 5: Solve for x
    x = 98,820,301,125.05/446,903.62
  6. Step 6: Final answer
    x = 221,122.18

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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.