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Finding the Fourth Proportional to 309,969.60, 465,019.20 and 99,628.80

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Solution

The fourth proportional to 309,969.60, 465,019.20 and 99,628.80 is: 149,464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,969.60 : 465,019.20 = 99,628.80 : x
  2. Step 2: Convert to fraction form
    309,969.60/465,019.20 = 99,628.80/x
  3. Step 3: Cross multiply
    309,969.60x = 465,019.20 × 99,628.80
  4. Step 4: Simplify right side
    309,969.60x = 46,329,304,872.96
  5. Step 5: Solve for x
    x = 46,329,304,872.96/309,969.60
  6. Step 6: Final answer
    x = 149,464.03

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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.