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Finding the Fourth Proportional to 486,093.80, 729,140.70 and 309,384.20

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Solution

The fourth proportional to 486,093.80, 729,140.70 and 309,384.20 is: 464,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,093.80 : 729,140.70 = 309,384.20 : x
  2. Step 2: Convert to fraction form
    486,093.80/729,140.70 = 309,384.20/x
  3. Step 3: Cross multiply
    486,093.80x = 729,140.70 × 309,384.20
  4. Step 4: Simplify right side
    486,093.80x = 225,584,612,156.94
  5. Step 5: Solve for x
    x = 225,584,612,156.94/486,093.80
  6. Step 6: Final answer
    x = 464,076.30

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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.