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Finding the Fourth Proportional to 463,447.80, 694,005.30 and 304,817.40

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Solution

The fourth proportional to 463,447.80, 694,005.30 and 304,817.40 is: 456,458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,447.80 : 694,005.30 = 304,817.40 : x
  2. Step 2: Convert to fraction form
    463,447.80/694,005.30 = 304,817.40/x
  3. Step 3: Cross multiply
    463,447.80x = 694,005.30 × 304,817.40
  4. Step 4: Simplify right side
    463,447.80x = 211,544,891,132.22
  5. Step 5: Solve for x
    x = 211,544,891,132.22/463,447.80
  6. Step 6: Final answer
    x = 456,458.94

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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.