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Finding the Fourth Proportional to 384,053.17, 575,833.11 and 159,568.69

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Solution

The fourth proportional to 384,053.17, 575,833.11 and 159,568.69 is: 239,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,053.17 : 575,833.11 = 159,568.69 : x
  2. Step 2: Convert to fraction form
    384,053.17/575,833.11 = 159,568.69/x
  3. Step 3: Cross multiply
    384,053.17x = 575,833.11 × 159,568.69
  4. Step 4: Simplify right side
    384,053.17x = 91,884,935,021.33
  5. Step 5: Solve for x
    x = 91,884,935,021.33/384,053.17
  6. Step 6: Final answer
    x = 239,250.56

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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.