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Finding the Fourth Proportional to 465,818.05, 698,727.24 and 145,994.74

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Solution

The fourth proportional to 465,818.05, 698,727.24 and 145,994.74 is: 218,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,818.05 : 698,727.24 = 145,994.74 : x
  2. Step 2: Convert to fraction form
    465,818.05/698,727.24 = 145,994.74/x
  3. Step 3: Cross multiply
    465,818.05x = 698,727.24 × 145,994.74
  4. Step 4: Simplify right side
    465,818.05x = 102,010,500,398.51
  5. Step 5: Solve for x
    x = 102,010,500,398.51/465,818.05
  6. Step 6: Final answer
    x = 218,992.16

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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.