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Finding the Fourth Proportional to 310,548.09, 465,920.55 and 110,864.07

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Solution

The fourth proportional to 310,548.09, 465,920.55 and 110,864.07 is: 166,331.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,548.09 : 465,920.55 = 110,864.07 : x
  2. Step 2: Convert to fraction form
    310,548.09/465,920.55 = 110,864.07/x
  3. Step 3: Cross multiply
    310,548.09x = 465,920.55 × 110,864.07
  4. Step 4: Simplify right side
    310,548.09x = 51,653,848,469.64
  5. Step 5: Solve for x
    x = 51,653,848,469.64/310,548.09
  6. Step 6: Final answer
    x = 166,331.24

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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.