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Finding the Fourth Proportional to 383,584.70, 575,376.24 and 103,101.96

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Solution

The fourth proportional to 383,584.70, 575,376.24 and 103,101.96 is: 154,652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,584.70 : 575,376.24 = 103,101.96 : x
  2. Step 2: Convert to fraction form
    383,584.70/575,376.24 = 103,101.96/x
  3. Step 3: Cross multiply
    383,584.70x = 575,376.24 × 103,101.96
  4. Step 4: Simplify right side
    383,584.70x = 59,322,418,081.43
  5. Step 5: Solve for x
    x = 59,322,418,081.43/383,584.70
  6. Step 6: Final answer
    x = 154,652.72

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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.