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Finding the Fourth Proportional to 633,541.98, 950,111.78 and 206,980.60

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Solution

The fourth proportional to 633,541.98, 950,111.78 and 206,980.60 is: 310,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,541.98 : 950,111.78 = 206,980.60 : x
  2. Step 2: Convert to fraction form
    633,541.98/950,111.78 = 206,980.60/x
  3. Step 3: Cross multiply
    633,541.98x = 950,111.78 × 206,980.60
  4. Step 4: Simplify right side
    633,541.98x = 196,654,706,291.47
  5. Step 5: Solve for x
    x = 196,654,706,291.47/633,541.98
  6. Step 6: Final answer
    x = 310,405.17

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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.