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Finding the Fourth Proportional to 297,586.16, 446,408.64 and 97,825.52

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Solution

The fourth proportional to 297,586.16, 446,408.64 and 97,825.52 is: 146,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,586.16 : 446,408.64 = 97,825.52 : x
  2. Step 2: Convert to fraction form
    297,586.16/446,408.64 = 97,825.52/x
  3. Step 3: Cross multiply
    297,586.16x = 446,408.64 × 97,825.52
  4. Step 4: Simplify right side
    297,586.16x = 43,670,157,340.49
  5. Step 5: Solve for x
    x = 43,670,157,340.49/297,586.16
  6. Step 6: Final answer
    x = 146,747.94

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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.