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Finding the Fourth Proportional to 470,234.88, 705,352.32 and 154,607.04

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Solution

The fourth proportional to 470,234.88, 705,352.32 and 154,607.04 is: 231,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,234.88 : 705,352.32 = 154,607.04 : x
  2. Step 2: Convert to fraction form
    470,234.88/705,352.32 = 154,607.04/x
  3. Step 3: Cross multiply
    470,234.88x = 705,352.32 × 154,607.04
  4. Step 4: Simplify right side
    470,234.88x = 109,052,434,352.33
  5. Step 5: Solve for x
    x = 109,052,434,352.33/470,234.88
  6. Step 6: Final answer
    x = 231,910.56

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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.