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Finding the Fourth Proportional to 537,758.42, 807,136.09 and 271,705.92

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Solution

The fourth proportional to 537,758.42, 807,136.09 and 271,705.92 is: 407,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,758.42 : 807,136.09 = 271,705.92 : x
  2. Step 2: Convert to fraction form
    537,758.42/807,136.09 = 271,705.92/x
  3. Step 3: Cross multiply
    537,758.42x = 807,136.09 × 271,705.92
  4. Step 4: Simplify right side
    537,758.42x = 219,303,652,540.12
  5. Step 5: Solve for x
    x = 219,303,652,540.12/537,758.42
  6. Step 6: Final answer
    x = 407,810.73

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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.