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Finding the Fourth Proportional to 471,624.89, 706,806.34 and 231,370.79

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Solution

The fourth proportional to 471,624.89, 706,806.34 and 231,370.79 is: 346,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,624.89 : 706,806.34 = 231,370.79 : x
  2. Step 2: Convert to fraction form
    471,624.89/706,806.34 = 231,370.79/x
  3. Step 3: Cross multiply
    471,624.89x = 706,806.34 × 231,370.79
  4. Step 4: Simplify right side
    471,624.89x = 163,534,337,150.35
  5. Step 5: Solve for x
    x = 163,534,337,150.35/471,624.89
  6. Step 6: Final answer
    x = 346,746.63

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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.