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Finding the Fourth Proportional to 297,533.45, 446,314.52 and 97,849.41

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Solution

The fourth proportional to 297,533.45, 446,314.52 and 97,849.41 is: 146,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,533.45 : 446,314.52 = 97,849.41 : x
  2. Step 2: Convert to fraction form
    297,533.45/446,314.52 = 97,849.41/x
  3. Step 3: Cross multiply
    297,533.45x = 446,314.52 × 97,849.41
  4. Step 4: Simplify right side
    297,533.45x = 43,671,612,456.43
  5. Step 5: Solve for x
    x = 43,671,612,456.43/297,533.45
  6. Step 6: Final answer
    x = 146,778.83

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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.