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Finding the Fourth Proportional to 310,543.90, 465,914.28 and 110,860

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Solution

The fourth proportional to 310,543.90, 465,914.28 and 110,860 is: 166,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,543.90 : 465,914.28 = 110,860 : x
  2. Step 2: Convert to fraction form
    310,543.90/465,914.28 = 110,860/x
  3. Step 3: Cross multiply
    310,543.90x = 465,914.28 × 110,860
  4. Step 4: Simplify right side
    310,543.90x = 51,651,257,080.80
  5. Step 5: Solve for x
    x = 51,651,257,080.80/310,543.90
  6. Step 6: Final answer
    x = 166,325.14

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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.