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Finding the Fourth Proportional to 321,963.90, 482,557.05 and 164,111.10

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Solution

The fourth proportional to 321,963.90, 482,557.05 and 164,111.10 is: 245,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,963.90 : 482,557.05 = 164,111.10 : x
  2. Step 2: Convert to fraction form
    321,963.90/482,557.05 = 164,111.10/x
  3. Step 3: Cross multiply
    321,963.90x = 482,557.05 × 164,111.10
  4. Step 4: Simplify right side
    321,963.90x = 79,192,968,288.26
  5. Step 5: Solve for x
    x = 79,192,968,288.26/321,963.90
  6. Step 6: Final answer
    x = 245,968.47

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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.