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Finding the Fourth Proportional to 537,766.79, 807,148.94 and 271,714.14

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Solution

The fourth proportional to 537,766.79, 807,148.94 and 271,714.14 is: 407,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,766.79 : 807,148.94 = 271,714.14 : x
  2. Step 2: Convert to fraction form
    537,766.79/807,148.94 = 271,714.14/x
  3. Step 3: Cross multiply
    537,766.79x = 807,148.94 × 271,714.14
  4. Step 4: Simplify right side
    537,766.79x = 219,313,778,725.44
  5. Step 5: Solve for x
    x = 219,313,778,725.44/537,766.79
  6. Step 6: Final answer
    x = 407,823.21

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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.