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Finding the Fourth Proportional to 383,825.29, 575,169.31 and 155,843.68

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Solution

The fourth proportional to 383,825.29, 575,169.31 and 155,843.68 is: 233,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,825.29 : 575,169.31 = 155,843.68 : x
  2. Step 2: Convert to fraction form
    383,825.29/575,169.31 = 155,843.68/x
  3. Step 3: Cross multiply
    383,825.29x = 575,169.31 × 155,843.68
  4. Step 4: Simplify right side
    383,825.29x = 89,636,501,893.46
  5. Step 5: Solve for x
    x = 89,636,501,893.46/383,825.29
  6. Step 6: Final answer
    x = 233,534.64

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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.