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Finding the Fourth Proportional to 323,004.51, 484,403.45 and 106,823.09

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Solution

The fourth proportional to 323,004.51, 484,403.45 and 106,823.09 is: 160,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,004.51 : 484,403.45 = 106,823.09 : x
  2. Step 2: Convert to fraction form
    323,004.51/484,403.45 = 106,823.09/x
  3. Step 3: Cross multiply
    323,004.51x = 484,403.45 × 106,823.09
  4. Step 4: Simplify right side
    323,004.51x = 51,745,474,012.55
  5. Step 5: Solve for x
    x = 51,745,474,012.55/323,004.51
  6. Step 6: Final answer
    x = 160,200.47

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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.