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Finding the Fourth Proportional to 384,024.40, 576,209.40 and 184,267.60

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Solution

The fourth proportional to 384,024.40, 576,209.40 and 184,267.60 is: 276,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,024.40 : 576,209.40 = 184,267.60 : x
  2. Step 2: Convert to fraction form
    384,024.40/576,209.40 = 184,267.60/x
  3. Step 3: Cross multiply
    384,024.40x = 576,209.40 × 184,267.60
  4. Step 4: Simplify right side
    384,024.40x = 106,176,723,235.44
  5. Step 5: Solve for x
    x = 106,176,723,235.44/384,024.40
  6. Step 6: Final answer
    x = 276,484.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.