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Finding the Fourth Proportional to 290,591.12, 435,772.92 and 113,074.64

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Solution

The fourth proportional to 290,591.12, 435,772.92 and 113,074.64 is: 169,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,591.12 : 435,772.92 = 113,074.64 : x
  2. Step 2: Convert to fraction form
    290,591.12/435,772.92 = 113,074.64/x
  3. Step 3: Cross multiply
    290,591.12x = 435,772.92 × 113,074.64
  4. Step 4: Simplify right side
    290,591.12x = 49,274,866,050.75
  5. Step 5: Solve for x
    x = 49,274,866,050.75/290,591.12
  6. Step 6: Final answer
    x = 169,567.69

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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.