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Finding the Fourth Proportional to 1,149,164, 1,723,746 and 361,196

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Solution

The fourth proportional to 1,149,164, 1,723,746 and 361,196 is: 541,794

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,164 : 1,723,746 = 361,196 : x
  2. Step 2: Convert to fraction form
    1,149,164/1,723,746 = 361,196/x
  3. Step 3: Cross multiply
    1,149,164x = 1,723,746 × 361,196
  4. Step 4: Simplify right side
    1,149,164x = 622,610,160,216
  5. Step 5: Solve for x
    x = 622,610,160,216/1,149,164
  6. Step 6: Final answer
    x = 541,794

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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.