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Finding the Fourth Proportional to 325,782.80, 488,443.80 and 148,374.80

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Solution

The fourth proportional to 325,782.80, 488,443.80 and 148,374.80 is: 222,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,782.80 : 488,443.80 = 148,374.80 : x
  2. Step 2: Convert to fraction form
    325,782.80/488,443.80 = 148,374.80/x
  3. Step 3: Cross multiply
    325,782.80x = 488,443.80 × 148,374.80
  4. Step 4: Simplify right side
    325,782.80x = 72,472,751,136.24
  5. Step 5: Solve for x
    x = 72,472,751,136.24/325,782.80
  6. Step 6: Final answer
    x = 222,457.27

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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.