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Finding the Fourth Proportional to 563,446.44, 845,200.44 and 142,725.96

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Solution

The fourth proportional to 563,446.44, 845,200.44 and 142,725.96 is: 214,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,446.44 : 845,200.44 = 142,725.96 : x
  2. Step 2: Convert to fraction form
    563,446.44/845,200.44 = 142,725.96/x
  3. Step 3: Cross multiply
    563,446.44x = 845,200.44 × 142,725.96
  4. Step 4: Simplify right side
    563,446.44x = 120,632,044,191.42
  5. Step 5: Solve for x
    x = 120,632,044,191.42/563,446.44
  6. Step 6: Final answer
    x = 214,096.74

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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.