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Finding the Fourth Proportional to 397,336.48, 595,999.68 and 97,820.80

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Solution

The fourth proportional to 397,336.48, 595,999.68 and 97,820.80 is: 146,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,336.48 : 595,999.68 = 97,820.80 : x
  2. Step 2: Convert to fraction form
    397,336.48/595,999.68 = 97,820.80/x
  3. Step 3: Cross multiply
    397,336.48x = 595,999.68 × 97,820.80
  4. Step 4: Simplify right side
    397,336.48x = 58,301,165,497.34
  5. Step 5: Solve for x
    x = 58,301,165,497.34/397,336.48
  6. Step 6: Final answer
    x = 146,729.96

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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.