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Finding the Fourth Proportional to 432,172.80, 648,643.20 and 254,457.60

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Solution

The fourth proportional to 432,172.80, 648,643.20 and 254,457.60 is: 381,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,172.80 : 648,643.20 = 254,457.60 : x
  2. Step 2: Convert to fraction form
    432,172.80/648,643.20 = 254,457.60/x
  3. Step 3: Cross multiply
    432,172.80x = 648,643.20 × 254,457.60
  4. Step 4: Simplify right side
    432,172.80x = 165,052,191,928.32
  5. Step 5: Solve for x
    x = 165,052,191,928.32/432,172.80
  6. Step 6: Final answer
    x = 381,912.49

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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.