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Finding the Fourth Proportional to 523,995.05, 785,431.98 and 271,020.83

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Solution

The fourth proportional to 523,995.05, 785,431.98 and 271,020.83 is: 406,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,995.05 : 785,431.98 = 271,020.83 : x
  2. Step 2: Convert to fraction form
    523,995.05/785,431.98 = 271,020.83/x
  3. Step 3: Cross multiply
    523,995.05x = 785,431.98 × 271,020.83
  4. Step 4: Simplify right side
    523,995.05x = 212,868,423,200.98
  5. Step 5: Solve for x
    x = 212,868,423,200.98/523,995.05
  6. Step 6: Final answer
    x = 406,241.28

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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.