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Finding the Fourth Proportional to 293,463.54, 440,195.40 and 153,189.36

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Solution

The fourth proportional to 293,463.54, 440,195.40 and 153,189.36 is: 229,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,463.54 : 440,195.40 = 153,189.36 : x
  2. Step 2: Convert to fraction form
    293,463.54/440,195.40 = 153,189.36/x
  3. Step 3: Cross multiply
    293,463.54x = 440,195.40 × 153,189.36
  4. Step 4: Simplify right side
    293,463.54x = 67,433,251,600.94
  5. Step 5: Solve for x
    x = 67,433,251,600.94/293,463.54
  6. Step 6: Final answer
    x = 229,784.09

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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.