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Finding the Fourth Proportional to 384,492.15, 576,798.17 and 184,775.31

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Solution

The fourth proportional to 384,492.15, 576,798.17 and 184,775.31 is: 277,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,492.15 : 576,798.17 = 184,775.31 : x
  2. Step 2: Convert to fraction form
    384,492.15/576,798.17 = 184,775.31/x
  3. Step 3: Cross multiply
    384,492.15x = 576,798.17 × 184,775.31
  4. Step 4: Simplify right side
    384,492.15x = 106,578,059,745.31
  5. Step 5: Solve for x
    x = 106,578,059,745.31/384,492.15
  6. Step 6: Final answer
    x = 277,191.77

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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.