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Finding the Fourth Proportional to 653,104.70, 978,344.85 and 453,650.30

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Solution

The fourth proportional to 653,104.70, 978,344.85 and 453,650.30 is: 679,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,104.70 : 978,344.85 = 453,650.30 : x
  2. Step 2: Convert to fraction form
    653,104.70/978,344.85 = 453,650.30/x
  3. Step 3: Cross multiply
    653,104.70x = 978,344.85 × 453,650.30
  4. Step 4: Simplify right side
    653,104.70x = 443,826,434,705.96
  5. Step 5: Solve for x
    x = 443,826,434,705.96/653,104.70
  6. Step 6: Final answer
    x = 679,563.99

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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.