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Finding the Fourth Proportional to 384,202.85, 576,468.30 and 184,420.40

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Solution

The fourth proportional to 384,202.85, 576,468.30 and 184,420.40 is: 276,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,202.85 : 576,468.30 = 184,420.40 : x
  2. Step 2: Convert to fraction form
    384,202.85/576,468.30 = 184,420.40/x
  3. Step 3: Cross multiply
    384,202.85x = 576,468.30 × 184,420.40
  4. Step 4: Simplify right side
    384,202.85x = 106,312,514,473.32
  5. Step 5: Solve for x
    x = 106,312,514,473.32/384,202.85
  6. Step 6: Final answer
    x = 276,709.33

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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.