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Finding the Fourth Proportional to 383,801.74, 575,456.24 and 159,317.12

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Solution

The fourth proportional to 383,801.74, 575,456.24 and 159,317.12 is: 238,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,801.74 : 575,456.24 = 159,317.12 : x
  2. Step 2: Convert to fraction form
    383,801.74/575,456.24 = 159,317.12/x
  3. Step 3: Cross multiply
    383,801.74x = 575,456.24 × 159,317.12
  4. Step 4: Simplify right side
    383,801.74x = 91,680,030,842.83
  5. Step 5: Solve for x
    x = 91,680,030,842.83/383,801.74
  6. Step 6: Final answer
    x = 238,873.41

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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.