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Finding the Fourth Proportional to 417,829.82, 576,033.88 and 287,003.48

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Solution

The fourth proportional to 417,829.82, 576,033.88 and 287,003.48 is: 395,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,829.82 : 576,033.88 = 287,003.48 : x
  2. Step 2: Convert to fraction form
    417,829.82/576,033.88 = 287,003.48/x
  3. Step 3: Cross multiply
    417,829.82x = 576,033.88 × 287,003.48
  4. Step 4: Simplify right side
    417,829.82x = 165,323,728,157.90
  5. Step 5: Solve for x
    x = 165,323,728,157.90/417,829.82
  6. Step 6: Final answer
    x = 395,672.40

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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.