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Finding the Fourth Proportional to 428,733.80, 642,906.30 and 162,405.80

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Solution

The fourth proportional to 428,733.80, 642,906.30 and 162,405.80 is: 243,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,733.80 : 642,906.30 = 162,405.80 : x
  2. Step 2: Convert to fraction form
    428,733.80/642,906.30 = 162,405.80/x
  3. Step 3: Cross multiply
    428,733.80x = 642,906.30 × 162,405.80
  4. Step 4: Simplify right side
    428,733.80x = 104,411,711,976.54
  5. Step 5: Solve for x
    x = 104,411,711,976.54/428,733.80
  6. Step 6: Final answer
    x = 243,535.06

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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.