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Finding the Fourth Proportional to 633,784.83, 950,668.23 and 154,016.16

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Solution

The fourth proportional to 633,784.83, 950,668.23 and 154,016.16 is: 231,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,784.83 : 950,668.23 = 154,016.16 : x
  2. Step 2: Convert to fraction form
    633,784.83/950,668.23 = 154,016.16/x
  3. Step 3: Cross multiply
    633,784.83x = 950,668.23 × 154,016.16
  4. Step 4: Simplify right side
    633,784.83x = 146,418,270,218.60
  5. Step 5: Solve for x
    x = 146,418,270,218.60/633,784.83
  6. Step 6: Final answer
    x = 231,022.05

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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.