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Finding the Fourth Proportional to 523,059.72, 784,589.58 and 149,073

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Solution

The fourth proportional to 523,059.72, 784,589.58 and 149,073 is: 223,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,059.72 : 784,589.58 = 149,073 : x
  2. Step 2: Convert to fraction form
    523,059.72/784,589.58 = 149,073/x
  3. Step 3: Cross multiply
    523,059.72x = 784,589.58 × 149,073
  4. Step 4: Simplify right side
    523,059.72x = 116,961,122,459.34
  5. Step 5: Solve for x
    x = 116,961,122,459.34/523,059.72
  6. Step 6: Final answer
    x = 223,609.50

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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.