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Finding the Fourth Proportional to 384,053.18, 575,833.10 and 159,568.70

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Solution

The fourth proportional to 384,053.18, 575,833.10 and 159,568.70 is: 239,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,053.18 : 575,833.10 = 159,568.70 : x
  2. Step 2: Convert to fraction form
    384,053.18/575,833.10 = 159,568.70/x
  3. Step 3: Cross multiply
    384,053.18x = 575,833.10 × 159,568.70
  4. Step 4: Simplify right side
    384,053.18x = 91,884,939,183.97
  5. Step 5: Solve for x
    x = 91,884,939,183.97/384,053.18
  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.