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Finding the Fourth Proportional to 309,308.80, 463,736.16 and 98,825.44

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Solution

The fourth proportional to 309,308.80, 463,736.16 and 98,825.44 is: 148,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,308.80 : 463,736.16 = 98,825.44 : x
  2. Step 2: Convert to fraction form
    309,308.80/463,736.16 = 98,825.44/x
  3. Step 3: Cross multiply
    309,308.80x = 463,736.16 × 98,825.44
  4. Step 4: Simplify right side
    309,308.80x = 45,828,930,055.91
  5. Step 5: Solve for x
    x = 45,828,930,055.91/309,308.80
  6. Step 6: Final answer
    x = 148,165.62

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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.