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Finding the Fourth Proportional to 427,464, 641,196 and 178,146

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Solution

The fourth proportional to 427,464, 641,196 and 178,146 is: 267,219

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,464 : 641,196 = 178,146 : x
  2. Step 2: Convert to fraction form
    427,464/641,196 = 178,146/x
  3. Step 3: Cross multiply
    427,464x = 641,196 × 178,146
  4. Step 4: Simplify right side
    427,464x = 114,226,502,616
  5. Step 5: Solve for x
    x = 114,226,502,616/427,464
  6. Step 6: Final answer
    x = 267,219

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.