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Finding the Fourth Proportional to 271,465.20, 406,541.70 and 259,655.40

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Solution

The fourth proportional to 271,465.20, 406,541.70 and 259,655.40 is: 388,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,465.20 : 406,541.70 = 259,655.40 : x
  2. Step 2: Convert to fraction form
    271,465.20/406,541.70 = 259,655.40/x
  3. Step 3: Cross multiply
    271,465.20x = 406,541.70 × 259,655.40
  4. Step 4: Simplify right side
    271,465.20x = 105,560,747,730.18
  5. Step 5: Solve for x
    x = 105,560,747,730.18/271,465.20
  6. Step 6: Final answer
    x = 388,855.54

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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.