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Finding the Fourth Proportional to 374,980.92, 517,475.35 and 205,214.64

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Solution

The fourth proportional to 374,980.92, 517,475.35 and 205,214.64 is: 283,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,980.92 : 517,475.35 = 205,214.64 : x
  2. Step 2: Convert to fraction form
    374,980.92/517,475.35 = 205,214.64/x
  3. Step 3: Cross multiply
    374,980.92x = 517,475.35 × 205,214.64
  4. Step 4: Simplify right side
    374,980.92x = 106,193,517,659.12
  5. Step 5: Solve for x
    x = 106,193,517,659.12/374,980.92
  6. Step 6: Final answer
    x = 283,197.12

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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.