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Finding the Fourth Proportional to 383,584.83, 575,376.42 and 103,102.08

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Solution

The fourth proportional to 383,584.83, 575,376.42 and 103,102.08 is: 154,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,584.83 : 575,376.42 = 103,102.08 : x
  2. Step 2: Convert to fraction form
    383,584.83/575,376.42 = 103,102.08/x
  3. Step 3: Cross multiply
    383,584.83x = 575,376.42 × 103,102.08
  4. Step 4: Simplify right side
    383,584.83x = 59,322,505,684.95
  5. Step 5: Solve for x
    x = 59,322,505,684.95/383,584.83
  6. Step 6: Final answer
    x = 154,652.90

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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.