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Finding the Fourth Proportional to 466,265.21, 643,469.63 and 275,274.50

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Solution

The fourth proportional to 466,265.21, 643,469.63 and 275,274.50 is: 379,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,265.21 : 643,469.63 = 275,274.50 : x
  2. Step 2: Convert to fraction form
    466,265.21/643,469.63 = 275,274.50/x
  3. Step 3: Cross multiply
    466,265.21x = 643,469.63 × 275,274.50
  4. Step 4: Simplify right side
    466,265.21x = 177,130,776,069.71
  5. Step 5: Solve for x
    x = 177,130,776,069.71/466,265.21
  6. Step 6: Final answer
    x = 379,892.76

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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.