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Finding the Fourth Proportional to 756,168, 1,043,499.66 and 412,008.48

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Solution

The fourth proportional to 756,168, 1,043,499.66 and 412,008.48 is: 568,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,168 : 1,043,499.66 = 412,008.48 : x
  2. Step 2: Convert to fraction form
    756,168/1,043,499.66 = 412,008.48/x
  3. Step 3: Cross multiply
    756,168x = 1,043,499.66 × 412,008.48
  4. Step 4: Simplify right side
    756,168x = 429,930,708,797.12
  5. Step 5: Solve for x
    x = 429,930,708,797.12/756,168
  6. Step 6: Final answer
    x = 568,565.07

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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.