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Finding the Fourth Proportional to 447,796.80, 671,695.20 and 314,827.20

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Solution

The fourth proportional to 447,796.80, 671,695.20 and 314,827.20 is: 472,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,796.80 : 671,695.20 = 314,827.20 : x
  2. Step 2: Convert to fraction form
    447,796.80/671,695.20 = 314,827.20/x
  3. Step 3: Cross multiply
    447,796.80x = 671,695.20 × 314,827.20
  4. Step 4: Simplify right side
    447,796.80x = 211,467,919,069.44
  5. Step 5: Solve for x
    x = 211,467,919,069.44/447,796.80
  6. Step 6: Final answer
    x = 472,240.80

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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.