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Finding the Fourth Proportional to 566,797.30, 782,175.09 and 312,143.02

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Solution

The fourth proportional to 566,797.30, 782,175.09 and 312,143.02 is: 430,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,797.30 : 782,175.09 = 312,143.02 : x
  2. Step 2: Convert to fraction form
    566,797.30/782,175.09 = 312,143.02/x
  3. Step 3: Cross multiply
    566,797.30x = 782,175.09 × 312,143.02
  4. Step 4: Simplify right side
    566,797.30x = 244,150,494,761.37
  5. Step 5: Solve for x
    x = 244,150,494,761.37/566,797.30
  6. Step 6: Final answer
    x = 430,754.51

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1.5x scale

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.