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Finding the Fourth Proportional to 539,725.38, 809,592.21 and 184,742.48

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Solution

The fourth proportional to 539,725.38, 809,592.21 and 184,742.48 is: 277,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,725.38 : 809,592.21 = 184,742.48 : x
  2. Step 2: Convert to fraction form
    539,725.38/809,592.21 = 184,742.48/x
  3. Step 3: Cross multiply
    539,725.38x = 809,592.21 × 184,742.48
  4. Step 4: Simplify right side
    539,725.38x = 149,566,068,616.12
  5. Step 5: Solve for x
    x = 149,566,068,616.12/539,725.38
  6. Step 6: Final answer
    x = 277,115.13

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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.