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Finding the Fourth Proportional to 537,744.29, 807,114.99 and 271,692.23

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Solution

The fourth proportional to 537,744.29, 807,114.99 and 271,692.23 is: 407,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,744.29 : 807,114.99 = 271,692.23 : x
  2. Step 2: Convert to fraction form
    537,744.29/807,114.99 = 271,692.23/x
  3. Step 3: Cross multiply
    537,744.29x = 807,114.99 × 271,692.23
  4. Step 4: Simplify right side
    537,744.29x = 219,286,871,499.53
  5. Step 5: Solve for x
    x = 219,286,871,499.53/537,744.29
  6. Step 6: Final answer
    x = 407,790.24

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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.