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Finding the Fourth Proportional to 546,604.83, 819,907.38 and 293,537.21

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Solution

The fourth proportional to 546,604.83, 819,907.38 and 293,537.21 is: 440,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,604.83 : 819,907.38 = 293,537.21 : x
  2. Step 2: Convert to fraction form
    546,604.83/819,907.38 = 293,537.21/x
  3. Step 3: Cross multiply
    546,604.83x = 819,907.38 × 293,537.21
  4. Step 4: Simplify right side
    546,604.83x = 240,673,320,684.07
  5. Step 5: Solve for x
    x = 240,673,320,684.07/546,604.83
  6. Step 6: Final answer
    x = 440,305.88

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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.