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Finding the Fourth Proportional to 400,498.80, 600,846.42 and 184,256.34

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Solution

The fourth proportional to 400,498.80, 600,846.42 and 184,256.34 is: 276,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,498.80 : 600,846.42 = 184,256.34 : x
  2. Step 2: Convert to fraction form
    400,498.80/600,846.42 = 184,256.34/x
  3. Step 3: Cross multiply
    400,498.80x = 600,846.42 × 184,256.34
  4. Step 4: Simplify right side
    400,498.80x = 110,709,762,251.30
  5. Step 5: Solve for x
    x = 110,709,762,251.30/400,498.80
  6. Step 6: Final answer
    x = 276,429.70

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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.