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Finding the Fourth Proportional to 537,970.38, 806,290.41 and 271,806.54

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Solution

The fourth proportional to 537,970.38, 806,290.41 and 271,806.54 is: 407,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,970.38 : 806,290.41 = 271,806.54 : x
  2. Step 2: Convert to fraction form
    537,970.38/806,290.41 = 271,806.54/x
  3. Step 3: Cross multiply
    537,970.38x = 806,290.41 × 271,806.54
  4. Step 4: Simplify right side
    537,970.38x = 219,155,006,577.28
  5. Step 5: Solve for x
    x = 219,155,006,577.28/537,970.38
  6. Step 6: Final answer
    x = 407,373.74

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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.