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Finding the Fourth Proportional to 297,636.58, 410,742.90 and 161,673.18

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Solution

The fourth proportional to 297,636.58, 410,742.90 and 161,673.18 is: 223,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,636.58 : 410,742.90 = 161,673.18 : x
  2. Step 2: Convert to fraction form
    297,636.58/410,742.90 = 161,673.18/x
  3. Step 3: Cross multiply
    297,636.58x = 410,742.90 × 161,673.18
  4. Step 4: Simplify right side
    297,636.58x = 66,406,110,805.42
  5. Step 5: Solve for x
    x = 66,406,110,805.42/297,636.58
  6. Step 6: Final answer
    x = 223,111.39

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Why These Related Problems?

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