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Finding the Fourth Proportional to 462,844.98, 638,513.01 and 319,805.46

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Solution

The fourth proportional to 462,844.98, 638,513.01 and 319,805.46 is: 441,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,844.98 : 638,513.01 = 319,805.46 : x
  2. Step 2: Convert to fraction form
    462,844.98/638,513.01 = 319,805.46/x
  3. Step 3: Cross multiply
    462,844.98x = 638,513.01 × 319,805.46
  4. Step 4: Simplify right side
    462,844.98x = 204,199,946,879.04
  5. Step 5: Solve for x
    x = 204,199,946,879.04/462,844.98
  6. Step 6: Final answer
    x = 441,184.32

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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.