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Finding the Fourth Proportional to 313,825.96, 433,081.36 and 170,586

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Solution

The fourth proportional to 313,825.96, 433,081.36 and 170,586 is: 235,409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,825.96 : 433,081.36 = 170,586 : x
  2. Step 2: Convert to fraction form
    313,825.96/433,081.36 = 170,586/x
  3. Step 3: Cross multiply
    313,825.96x = 433,081.36 × 170,586
  4. Step 4: Simplify right side
    313,825.96x = 73,877,616,610.42
  5. Step 5: Solve for x
    x = 73,877,616,610.42/313,825.96
  6. Step 6: Final answer
    x = 235,409.52

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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.