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Finding the Fourth Proportional to 438,940.80, 658,411.20 and 320,842.80

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Solution

The fourth proportional to 438,940.80, 658,411.20 and 320,842.80 is: 481,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,940.80 : 658,411.20 = 320,842.80 : x
  2. Step 2: Convert to fraction form
    438,940.80/658,411.20 = 320,842.80/x
  3. Step 3: Cross multiply
    438,940.80x = 658,411.20 × 320,842.80
  4. Step 4: Simplify right side
    438,940.80x = 211,246,492,959.36
  5. Step 5: Solve for x
    x = 211,246,492,959.36/438,940.80
  6. Step 6: Final answer
    x = 481,264.20

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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.