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Finding the Fourth Proportional to 323,735.30, 485,602.95 and 256,813.10

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Solution

The fourth proportional to 323,735.30, 485,602.95 and 256,813.10 is: 385,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,735.30 : 485,602.95 = 256,813.10 : x
  2. Step 2: Convert to fraction form
    323,735.30/485,602.95 = 256,813.10/x
  3. Step 3: Cross multiply
    323,735.30x = 485,602.95 × 256,813.10
  4. Step 4: Simplify right side
    323,735.30x = 124,709,198,958.65
  5. Step 5: Solve for x
    x = 124,709,198,958.65/323,735.30
  6. Step 6: Final answer
    x = 385,219.65

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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.