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Finding the Fourth Proportional to 428,724.80, 642,892.80 and 162,396.80

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Solution

The fourth proportional to 428,724.80, 642,892.80 and 162,396.80 is: 243,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,724.80 : 642,892.80 = 162,396.80 : x
  2. Step 2: Convert to fraction form
    428,724.80/642,892.80 = 162,396.80/x
  3. Step 3: Cross multiply
    428,724.80x = 642,892.80 × 162,396.80
  4. Step 4: Simplify right side
    428,724.80x = 104,403,733,463.04
  5. Step 5: Solve for x
    x = 104,403,733,463.04/428,724.80
  6. Step 6: Final answer
    x = 243,521.56

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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.