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Finding the Fourth Proportional to 275,448.40, 413,172.60 and 149,477.20

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Solution

The fourth proportional to 275,448.40, 413,172.60 and 149,477.20 is: 224,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,448.40 : 413,172.60 = 149,477.20 : x
  2. Step 2: Convert to fraction form
    275,448.40/413,172.60 = 149,477.20/x
  3. Step 3: Cross multiply
    275,448.40x = 413,172.60 × 149,477.20
  4. Step 4: Simplify right side
    275,448.40x = 61,759,883,364.72
  5. Step 5: Solve for x
    x = 61,759,883,364.72/275,448.40
  6. Step 6: Final answer
    x = 224,215.80

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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.