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Finding the Fourth Proportional to 297,521.45, 446,296.52 and 97,837.41

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Solution

The fourth proportional to 297,521.45, 446,296.52 and 97,837.41 is: 146,760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,521.45 : 446,296.52 = 97,837.41 : x
  2. Step 2: Convert to fraction form
    297,521.45/446,296.52 = 97,837.41/x
  3. Step 3: Cross multiply
    297,521.45x = 446,296.52 × 97,837.41
  4. Step 4: Simplify right side
    297,521.45x = 43,664,495,608.81
  5. Step 5: Solve for x
    x = 43,664,495,608.81/297,521.45
  6. Step 6: Final answer
    x = 146,760.83

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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.