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Finding the Fourth Proportional to 395,679.30, 592,896.58 and 305,941.22

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Solution

The fourth proportional to 395,679.30, 592,896.58 and 305,941.22 is: 458,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,679.30 : 592,896.58 = 305,941.22 : x
  2. Step 2: Convert to fraction form
    395,679.30/592,896.58 = 305,941.22/x
  3. Step 3: Cross multiply
    395,679.30x = 592,896.58 × 305,941.22
  4. Step 4: Simplify right side
    395,679.30x = 181,391,503,019.03
  5. Step 5: Solve for x
    x = 181,391,503,019.03/395,679.30
  6. Step 6: Final answer
    x = 458,430.61

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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.