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Finding the Fourth Proportional to 467,843.32, 645,627.64 and 258,297.96

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Solution

The fourth proportional to 467,843.32, 645,627.64 and 258,297.96 is: 356,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,843.32 : 645,627.64 = 258,297.96 : x
  2. Step 2: Convert to fraction form
    467,843.32/645,627.64 = 258,297.96/x
  3. Step 3: Cross multiply
    467,843.32x = 645,627.64 × 258,297.96
  4. Step 4: Simplify right side
    467,843.32x = 166,764,302,331.61
  5. Step 5: Solve for x
    x = 166,764,302,331.61/467,843.32
  6. Step 6: Final answer
    x = 356,453.32

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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.