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Finding the Fourth Proportional to 462,115.20, 693,172.80 and 326,812.80

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Solution

The fourth proportional to 462,115.20, 693,172.80 and 326,812.80 is: 490,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,115.20 : 693,172.80 = 326,812.80 : x
  2. Step 2: Convert to fraction form
    462,115.20/693,172.80 = 326,812.80/x
  3. Step 3: Cross multiply
    462,115.20x = 693,172.80 × 326,812.80
  4. Step 4: Simplify right side
    462,115.20x = 226,537,743,651.84
  5. Step 5: Solve for x
    x = 226,537,743,651.84/462,115.20
  6. Step 6: Final answer
    x = 490,219.20

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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.