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Finding the Fourth Proportional to 410,265.88, 613,780.44 and 310,713.64

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Solution

The fourth proportional to 410,265.88, 613,780.44 and 310,713.64 is: 464,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,265.88 : 613,780.44 = 310,713.64 : x
  2. Step 2: Convert to fraction form
    410,265.88/613,780.44 = 310,713.64/x
  3. Step 3: Cross multiply
    410,265.88x = 613,780.44 × 310,713.64
  4. Step 4: Simplify right side
    410,265.88x = 190,709,954,673.20
  5. Step 5: Solve for x
    x = 190,709,954,673.20/410,265.88
  6. Step 6: Final answer
    x = 464,844.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.