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Finding the Fourth Proportional to 463,240.77, 694,980.95 and 271,277.30

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Solution

The fourth proportional to 463,240.77, 694,980.95 and 271,277.30 is: 406,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,240.77 : 694,980.95 = 271,277.30 : x
  2. Step 2: Convert to fraction form
    463,240.77/694,980.95 = 271,277.30/x
  3. Step 3: Cross multiply
    463,240.77x = 694,980.95 × 271,277.30
  4. Step 4: Simplify right side
    463,240.77x = 188,532,550,836.14
  5. Step 5: Solve for x
    x = 188,532,550,836.14/463,240.77
  6. Step 6: Final answer
    x = 406,986.10

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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.