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Finding the Fourth Proportional to 406,363.62, 560,660.49 and 262,896.42

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Solution

The fourth proportional to 406,363.62, 560,660.49 and 262,896.42 is: 362,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,363.62 : 560,660.49 = 262,896.42 : x
  2. Step 2: Convert to fraction form
    406,363.62/560,660.49 = 262,896.42/x
  3. Step 3: Cross multiply
    406,363.62x = 560,660.49 × 262,896.42
  4. Step 4: Simplify right side
    406,363.62x = 147,395,635,656.45
  5. Step 5: Solve for x
    x = 147,395,635,656.45/406,363.62
  6. Step 6: Final answer
    x = 362,718.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.