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Finding the Fourth Proportional to 419,242.91, 578,546.12 and 244,843.11

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Solution

The fourth proportional to 419,242.91, 578,546.12 and 244,843.11 is: 337,878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,242.91 : 578,546.12 = 244,843.11 : x
  2. Step 2: Convert to fraction form
    419,242.91/578,546.12 = 244,843.11/x
  3. Step 3: Cross multiply
    419,242.91x = 578,546.12 × 244,843.11
  4. Step 4: Simplify right side
    419,242.91x = 141,653,030,075.02
  5. Step 5: Solve for x
    x = 141,653,030,075.02/419,242.91
  6. Step 6: Final answer
    x = 337,878.18

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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.