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Finding the Fourth Proportional to 384,025.40, 576,210.90 and 184,268.60

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Solution

The fourth proportional to 384,025.40, 576,210.90 and 184,268.60 is: 276,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,025.40 : 576,210.90 = 184,268.60 : x
  2. Step 2: Convert to fraction form
    384,025.40/576,210.90 = 184,268.60/x
  3. Step 3: Cross multiply
    384,025.40x = 576,210.90 × 184,268.60
  4. Step 4: Simplify right side
    384,025.40x = 106,177,575,847.74
  5. Step 5: Solve for x
    x = 106,177,575,847.74/384,025.40
  6. Step 6: Final answer
    x = 276,485.82

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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.