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Finding the Fourth Proportional to 442,100.56, 662,596.26 and 189,084.10

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Solution

The fourth proportional to 442,100.56, 662,596.26 and 189,084.10 is: 283,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,100.56 : 662,596.26 = 189,084.10 : x
  2. Step 2: Convert to fraction form
    442,100.56/662,596.26 = 189,084.10/x
  3. Step 3: Cross multiply
    442,100.56x = 662,596.26 × 189,084.10
  4. Step 4: Simplify right side
    442,100.56x = 125,286,417,485.47
  5. Step 5: Solve for x
    x = 125,286,417,485.47/442,100.56
  6. Step 6: Final answer
    x = 283,388.96

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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.