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Finding the Fourth Proportional to 384,408.64, 576,985.02 and 184,866.76

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Solution

The fourth proportional to 384,408.64, 576,985.02 and 184,866.76 is: 277,479.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,408.64 : 576,985.02 = 184,866.76 : x
  2. Step 2: Convert to fraction form
    384,408.64/576,985.02 = 184,866.76/x
  3. Step 3: Cross multiply
    384,408.64x = 576,985.02 × 184,866.76
  4. Step 4: Simplify right side
    384,408.64x = 106,665,351,215.94
  5. Step 5: Solve for x
    x = 106,665,351,215.94/384,408.64
  6. Step 6: Final answer
    x = 277,479.07

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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.