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Finding the Fourth Proportional to 383,934.76, 575,656.10 and 159,450.15

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Solution

The fourth proportional to 383,934.76, 575,656.10 and 159,450.15 is: 239,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,934.76 : 575,656.10 = 159,450.15 : x
  2. Step 2: Convert to fraction form
    383,934.76/575,656.10 = 159,450.15/x
  3. Step 3: Cross multiply
    383,934.76x = 575,656.10 × 159,450.15
  4. Step 4: Simplify right side
    383,934.76x = 91,788,449,268.39
  5. Step 5: Solve for x
    x = 91,788,449,268.39/383,934.76
  6. Step 6: Final answer
    x = 239,073.04

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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.