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Finding the Fourth Proportional to 320,373.68, 480,323.25 and 193,984.21

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Solution

The fourth proportional to 320,373.68, 480,323.25 and 193,984.21 is: 290,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,373.68 : 480,323.25 = 193,984.21 : x
  2. Step 2: Convert to fraction form
    320,373.68/480,323.25 = 193,984.21/x
  3. Step 3: Cross multiply
    320,373.68x = 480,323.25 × 193,984.21
  4. Step 4: Simplify right side
    320,373.68x = 93,175,126,969.45
  5. Step 5: Solve for x
    x = 93,175,126,969.45/320,373.68
  6. Step 6: Final answer
    x = 290,832.65

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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.