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Finding the Fourth Proportional to 546,653.03, 820,216.38 and 293,638.33

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Solution

The fourth proportional to 546,653.03, 820,216.38 and 293,638.33 is: 440,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,653.03 : 820,216.38 = 293,638.33 : x
  2. Step 2: Convert to fraction form
    546,653.03/820,216.38 = 293,638.33/x
  3. Step 3: Cross multiply
    546,653.03x = 820,216.38 × 293,638.33
  4. Step 4: Simplify right side
    546,653.03x = 240,846,966,593.65
  5. Step 5: Solve for x
    x = 240,846,966,593.65/546,653.03
  6. Step 6: Final answer
    x = 440,584.71

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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.