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Finding the Fourth Proportional to 297,933.78, 446,805.88 and 98,216.94

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Solution

The fourth proportional to 297,933.78, 446,805.88 and 98,216.94 is: 147,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,933.78 : 446,805.88 = 98,216.94 : x
  2. Step 2: Convert to fraction form
    297,933.78/446,805.88 = 98,216.94/x
  3. Step 3: Cross multiply
    297,933.78x = 446,805.88 × 98,216.94
  4. Step 4: Simplify right side
    297,933.78x = 43,883,906,307.61
  5. Step 5: Solve for x
    x = 43,883,906,307.61/297,933.78
  6. Step 6: Final answer
    x = 147,294.16

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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.