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Finding the Fourth Proportional to 341,997.48, 512,970.30 and 120,225.96

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Solution

The fourth proportional to 341,997.48, 512,970.30 and 120,225.96 is: 180,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,997.48 : 512,970.30 = 120,225.96 : x
  2. Step 2: Convert to fraction form
    341,997.48/512,970.30 = 120,225.96/x
  3. Step 3: Cross multiply
    341,997.48x = 512,970.30 × 120,225.96
  4. Step 4: Simplify right side
    341,997.48x = 61,672,346,768.99
  5. Step 5: Solve for x
    x = 61,672,346,768.99/341,997.48
  6. Step 6: Final answer
    x = 180,329.83

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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.