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Finding the Fourth Proportional to 297,564.66, 410,637.60 and 161,597.34

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Solution

The fourth proportional to 297,564.66, 410,637.60 and 161,597.34 is: 223,003.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,564.66 : 410,637.60 = 161,597.34 : x
  2. Step 2: Convert to fraction form
    297,564.66/410,637.60 = 161,597.34/x
  3. Step 3: Cross multiply
    297,564.66x = 410,637.60 × 161,597.34
  4. Step 4: Simplify right side
    297,564.66x = 66,357,943,863.98
  5. Step 5: Solve for x
    x = 66,357,943,863.98/297,564.66
  6. Step 6: Final answer
    x = 223,003.44

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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.