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Finding the Fourth Proportional to 310,559.76, 465,938.10 and 110,875.88

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Solution

The fourth proportional to 310,559.76, 465,938.10 and 110,875.88 is: 166,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,559.76 : 465,938.10 = 110,875.88 : x
  2. Step 2: Convert to fraction form
    310,559.76/465,938.10 = 110,875.88/x
  3. Step 3: Cross multiply
    310,559.76x = 465,938.10 × 110,875.88
  4. Step 4: Simplify right side
    310,559.76x = 51,661,296,863.03
  5. Step 5: Solve for x
    x = 51,661,296,863.03/310,559.76
  6. Step 6: Final answer
    x = 166,348.97

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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.