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Finding the Fourth Proportional to 541,206, 746,853.08 and 299,488.40

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Solution

The fourth proportional to 541,206, 746,853.08 and 299,488.40 is: 413,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,206 : 746,853.08 = 299,488.40 : x
  2. Step 2: Convert to fraction form
    541,206/746,853.08 = 299,488.40/x
  3. Step 3: Cross multiply
    541,206x = 746,853.08 × 299,488.40
  4. Step 4: Simplify right side
    541,206x = 223,673,833,964.27
  5. Step 5: Solve for x
    x = 223,673,833,964.27/541,206
  6. Step 6: Final answer
    x = 413,287.79

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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.