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Finding the Fourth Proportional to 297,636.90, 410,742 and 161,673.50

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Solution

The fourth proportional to 297,636.90, 410,742 and 161,673.50 is: 223,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,636.90 : 410,742 = 161,673.50 : x
  2. Step 2: Convert to fraction form
    297,636.90/410,742 = 161,673.50/x
  3. Step 3: Cross multiply
    297,636.90x = 410,742 × 161,673.50
  4. Step 4: Simplify right side
    297,636.90x = 66,406,096,737
  5. Step 5: Solve for x
    x = 66,406,096,737/297,636.90
  6. Step 6: Final answer
    x = 223,111.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.