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Finding the Fourth Proportional to 410,074.64, 565,903.08 and 231,226.64

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Solution

The fourth proportional to 410,074.64, 565,903.08 and 231,226.64 is: 319,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,074.64 : 565,903.08 = 231,226.64 : x
  2. Step 2: Convert to fraction form
    410,074.64/565,903.08 = 231,226.64/x
  3. Step 3: Cross multiply
    410,074.64x = 565,903.08 × 231,226.64
  4. Step 4: Simplify right side
    410,074.64x = 130,851,867,754.05
  5. Step 5: Solve for x
    x = 130,851,867,754.05/410,074.64
  6. Step 6: Final answer
    x = 319,092.81

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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.