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Finding the Fourth Proportional to 310,543.60, 465,913.82 and 110,859.56

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Solution

The fourth proportional to 310,543.60, 465,913.82 and 110,859.56 is: 166,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,543.60 : 465,913.82 = 110,859.56 : x
  2. Step 2: Convert to fraction form
    310,543.60/465,913.82 = 110,859.56/x
  3. Step 3: Cross multiply
    310,543.60x = 465,913.82 × 110,859.56
  4. Step 4: Simplify right side
    310,543.60x = 51,651,001,693.61
  5. Step 5: Solve for x
    x = 51,651,001,693.61/310,543.60
  6. Step 6: Final answer
    x = 166,324.48

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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.