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Finding the Fourth Proportional to 309,619.20, 464,428.80 and 197,644.80

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Solution

The fourth proportional to 309,619.20, 464,428.80 and 197,644.80 is: 296,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,619.20 : 464,428.80 = 197,644.80 : x
  2. Step 2: Convert to fraction form
    309,619.20/464,428.80 = 197,644.80/x
  3. Step 3: Cross multiply
    309,619.20x = 464,428.80 × 197,644.80
  4. Step 4: Simplify right side
    309,619.20x = 91,791,937,290.24
  5. Step 5: Solve for x
    x = 91,791,937,290.24/309,619.20
  6. Step 6: Final answer
    x = 296,467.20

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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.