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Finding the Fourth Proportional to 323,538.20, 485,307.30 and 205,440.20

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Solution

The fourth proportional to 323,538.20, 485,307.30 and 205,440.20 is: 308,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,538.20 : 485,307.30 = 205,440.20 : x
  2. Step 2: Convert to fraction form
    323,538.20/485,307.30 = 205,440.20/x
  3. Step 3: Cross multiply
    323,538.20x = 485,307.30 × 205,440.20
  4. Step 4: Simplify right side
    323,538.20x = 99,701,628,773.46
  5. Step 5: Solve for x
    x = 99,701,628,773.46/323,538.20
  6. Step 6: Final answer
    x = 308,160.30

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1.5x scale

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.