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Finding the Fourth Proportional to 297,802.92, 446,748.66 and 98,086.44

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Solution

The fourth proportional to 297,802.92, 446,748.66 and 98,086.44 is: 147,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,802.92 : 446,748.66 = 98,086.44 : x
  2. Step 2: Convert to fraction form
    297,802.92/446,748.66 = 98,086.44/x
  3. Step 3: Cross multiply
    297,802.92x = 446,748.66 × 98,086.44
  4. Step 4: Simplify right side
    297,802.92x = 43,819,985,634.17
  5. Step 5: Solve for x
    x = 43,819,985,634.17/297,802.92
  6. Step 6: Final answer
    x = 147,144.24

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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.