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Finding the Fourth Proportional to 537,759.42, 807,137.59 and 271,706.92

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Solution

The fourth proportional to 537,759.42, 807,137.59 and 271,706.92 is: 407,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,759.42 : 807,137.59 = 271,706.92 : x
  2. Step 2: Convert to fraction form
    537,759.42/807,137.59 = 271,706.92/x
  3. Step 3: Cross multiply
    537,759.42x = 807,137.59 × 271,706.92
  4. Step 4: Simplify right side
    537,759.42x = 219,304,868,595.12
  5. Step 5: Solve for x
    x = 219,304,868,595.12/537,759.42
  6. Step 6: Final answer
    x = 407,812.23

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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.