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Finding the Fourth Proportional to 463,443.80, 693,999.30 and 304,813.40

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Solution

The fourth proportional to 463,443.80, 693,999.30 and 304,813.40 is: 456,452.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,443.80 : 693,999.30 = 304,813.40 : x
  2. Step 2: Convert to fraction form
    463,443.80/693,999.30 = 304,813.40/x
  3. Step 3: Cross multiply
    463,443.80x = 693,999.30 × 304,813.40
  4. Step 4: Simplify right side
    463,443.80x = 211,540,286,230.62
  5. Step 5: Solve for x
    x = 211,540,286,230.62/463,443.80
  6. Step 6: Final answer
    x = 456,452.94

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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.