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Finding the Fourth Proportional to 309,902.40, 464,983.20 and 99,604.80

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Solution

The fourth proportional to 309,902.40, 464,983.20 and 99,604.80 is: 149,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,902.40 : 464,983.20 = 99,604.80 : x
  2. Step 2: Convert to fraction form
    309,902.40/464,983.20 = 99,604.80/x
  3. Step 3: Cross multiply
    309,902.40x = 464,983.20 × 99,604.80
  4. Step 4: Simplify right side
    309,902.40x = 46,314,558,639.36
  5. Step 5: Solve for x
    x = 46,314,558,639.36/309,902.40
  6. Step 6: Final answer
    x = 149,448.85

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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.