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Finding the Fourth Proportional to 324,457.20, 486,599.40 and 99,817.20

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Solution

The fourth proportional to 324,457.20, 486,599.40 and 99,817.20 is: 149,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,457.20 : 486,599.40 = 99,817.20 : x
  2. Step 2: Convert to fraction form
    324,457.20/486,599.40 = 99,817.20/x
  3. Step 3: Cross multiply
    324,457.20x = 486,599.40 × 99,817.20
  4. Step 4: Simplify right side
    324,457.20x = 48,570,989,629.68
  5. Step 5: Solve for x
    x = 48,570,989,629.68/324,457.20
  6. Step 6: Final answer
    x = 149,699.22

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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.