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Finding the Fourth Proportional to 297,637.95, 410,744.11 and 161,674.17

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Solution

The fourth proportional to 297,637.95, 410,744.11 and 161,674.17 is: 223,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,637.95 : 410,744.11 = 161,674.17 : x
  2. Step 2: Convert to fraction form
    297,637.95/410,744.11 = 161,674.17/x
  3. Step 3: Cross multiply
    297,637.95x = 410,744.11 × 161,674.17
  4. Step 4: Simplify right side
    297,637.95x = 66,406,713,066.64
  5. Step 5: Solve for x
    x = 66,406,713,066.64/297,637.95
  6. Step 6: Final answer
    x = 223,112.38

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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.