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Finding the Fourth Proportional to 384,109.60, 576,087.60 and 184,429.60

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Solution

The fourth proportional to 384,109.60, 576,087.60 and 184,429.60 is: 276,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,109.60 : 576,087.60 = 184,429.60 : x
  2. Step 2: Convert to fraction form
    384,109.60/576,087.60 = 184,429.60/x
  3. Step 3: Cross multiply
    384,109.60x = 576,087.60 × 184,429.60
  4. Step 4: Simplify right side
    384,109.60x = 106,247,605,632.96
  5. Step 5: Solve for x
    x = 106,247,605,632.96/384,109.60
  6. Step 6: Final answer
    x = 276,607.52

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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.