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Finding the Fourth Proportional to 384,074.20, 575,825.88 and 184,204.24

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Solution

The fourth proportional to 384,074.20, 575,825.88 and 184,204.24 is: 276,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,074.20 : 575,825.88 = 184,204.24 : x
  2. Step 2: Convert to fraction form
    384,074.20/575,825.88 = 184,204.24/x
  3. Step 3: Cross multiply
    384,074.20x = 575,825.88 × 184,204.24
  4. Step 4: Simplify right side
    384,074.20x = 106,069,568,597.73
  5. Step 5: Solve for x
    x = 106,069,568,597.73/384,074.20
  6. Step 6: Final answer
    x = 276,169.47

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1.5x scale

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.