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Finding the Fourth Proportional to 470,454.88, 704,993.40 and 233,323.96

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Solution

The fourth proportional to 470,454.88, 704,993.40 and 233,323.96 is: 349,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,454.88 : 704,993.40 = 233,323.96 : x
  2. Step 2: Convert to fraction form
    470,454.88/704,993.40 = 233,323.96/x
  3. Step 3: Cross multiply
    470,454.88x = 704,993.40 × 233,323.96
  4. Step 4: Simplify right side
    470,454.88x = 164,491,851,861.86
  5. Step 5: Solve for x
    x = 164,491,851,861.86/470,454.88
  6. Step 6: Final answer
    x = 349,644.27

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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.