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Finding the Fourth Proportional to 598,383, 825,749.58 and 340,288

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Solution

The fourth proportional to 598,383, 825,749.58 and 340,288 is: 469,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,383 : 825,749.58 = 340,288 : x
  2. Step 2: Convert to fraction form
    598,383/825,749.58 = 340,288/x
  3. Step 3: Cross multiply
    598,383x = 825,749.58 × 340,288
  4. Step 4: Simplify right side
    598,383x = 280,992,673,079.04
  5. Step 5: Solve for x
    x = 280,992,673,079.04/598,383
  6. Step 6: Final answer
    x = 469,586.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.