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Finding the Fourth Proportional to 297,507.50, 410,549.13 and 161,538.51

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Solution

The fourth proportional to 297,507.50, 410,549.13 and 161,538.51 is: 222,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,507.50 : 410,549.13 = 161,538.51 : x
  2. Step 2: Convert to fraction form
    297,507.50/410,549.13 = 161,538.51/x
  3. Step 3: Cross multiply
    297,507.50x = 410,549.13 × 161,538.51
  4. Step 4: Simplify right side
    297,507.50x = 66,319,494,742.00
  5. Step 5: Solve for x
    x = 66,319,494,742.00/297,507.50
  6. Step 6: Final answer
    x = 222,917.05

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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.