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Finding the Fourth Proportional to 347,305.25, 520,952.40 and 110,646.33

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Solution

The fourth proportional to 347,305.25, 520,952.40 and 110,646.33 is: 165,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,305.25 : 520,952.40 = 110,646.33 : x
  2. Step 2: Convert to fraction form
    347,305.25/520,952.40 = 110,646.33/x
  3. Step 3: Cross multiply
    347,305.25x = 520,952.40 × 110,646.33
  4. Step 4: Simplify right side
    347,305.25x = 57,641,471,164.69
  5. Step 5: Solve for x
    x = 57,641,471,164.69/347,305.25
  6. Step 6: Final answer
    x = 165,967.75

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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.