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Finding the Fourth Proportional to 469,062, 703,593 and 206,406

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Solution

The fourth proportional to 469,062, 703,593 and 206,406 is: 309,609

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,062 : 703,593 = 206,406 : x
  2. Step 2: Convert to fraction form
    469,062/703,593 = 206,406/x
  3. Step 3: Cross multiply
    469,062x = 703,593 × 206,406
  4. Step 4: Simplify right side
    469,062x = 145,225,816,758
  5. Step 5: Solve for x
    x = 145,225,816,758/469,062
  6. Step 6: Final answer
    x = 309,609

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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.