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Finding the Fourth Proportional to 465,818.18, 698,727.43 and 145,994.86

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Solution

The fourth proportional to 465,818.18, 698,727.43 and 145,994.86 is: 218,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,818.18 : 698,727.43 = 145,994.86 : x
  2. Step 2: Convert to fraction form
    465,818.18/698,727.43 = 145,994.86/x
  3. Step 3: Cross multiply
    465,818.18x = 698,727.43 × 145,994.86
  4. Step 4: Simplify right side
    465,818.18x = 102,010,615,067.83
  5. Step 5: Solve for x
    x = 102,010,615,067.83/465,818.18
  6. Step 6: Final answer
    x = 218,992.34

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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.