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Finding the Fourth Proportional to 340,669.89, 470,020.38 and 197,402.25

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Solution

The fourth proportional to 340,669.89, 470,020.38 and 197,402.25 is: 272,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,669.89 : 470,020.38 = 197,402.25 : x
  2. Step 2: Convert to fraction form
    340,669.89/470,020.38 = 197,402.25/x
  3. Step 3: Cross multiply
    340,669.89x = 470,020.38 × 197,402.25
  4. Step 4: Simplify right side
    340,669.89x = 92,783,080,557.86
  5. Step 5: Solve for x
    x = 92,783,080,557.86/340,669.89
  6. Step 6: Final answer
    x = 272,354.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.