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Finding the Fourth Proportional to 297,558.90, 446,403.96 and 97,871.22

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Solution

The fourth proportional to 297,558.90, 446,403.96 and 97,871.22 is: 146,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,558.90 : 446,403.96 = 97,871.22 : x
  2. Step 2: Convert to fraction form
    297,558.90/446,403.96 = 97,871.22/x
  3. Step 3: Cross multiply
    297,558.90x = 446,403.96 × 97,871.22
  4. Step 4: Simplify right side
    297,558.90x = 43,690,100,178.03
  5. Step 5: Solve for x
    x = 43,690,100,178.03/297,558.90
  6. Step 6: Final answer
    x = 146,828.41

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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.