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Finding the Fourth Proportional to 320,193.42, 480,303.09 and 120,492.78

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Solution

The fourth proportional to 320,193.42, 480,303.09 and 120,492.78 is: 180,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,193.42 : 480,303.09 = 120,492.78 : x
  2. Step 2: Convert to fraction form
    320,193.42/480,303.09 = 120,492.78/x
  3. Step 3: Cross multiply
    320,193.42x = 480,303.09 × 120,492.78
  4. Step 4: Simplify right side
    320,193.42x = 57,873,054,556.69
  5. Step 5: Solve for x
    x = 57,873,054,556.69/320,193.42
  6. Step 6: Final answer
    x = 180,744.05

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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.