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Finding the Fourth Proportional to 537,778.28, 807,166.19 and 271,725.64

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Solution

The fourth proportional to 537,778.28, 807,166.19 and 271,725.64 is: 407,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,778.28 : 807,166.19 = 271,725.64 : x
  2. Step 2: Convert to fraction form
    537,778.28/807,166.19 = 271,725.64/x
  3. Step 3: Cross multiply
    537,778.28x = 807,166.19 × 271,725.64
  4. Step 4: Simplify right side
    537,778.28x = 219,327,749,564.11
  5. Step 5: Solve for x
    x = 219,327,749,564.11/537,778.28
  6. Step 6: Final answer
    x = 407,840.48

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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.