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Finding the Fourth Proportional to 467,990.82, 701,985.69 and 152,447.22

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Solution

The fourth proportional to 467,990.82, 701,985.69 and 152,447.22 is: 228,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,990.82 : 701,985.69 = 152,447.22 : x
  2. Step 2: Convert to fraction form
    467,990.82/701,985.69 = 152,447.22/x
  3. Step 3: Cross multiply
    467,990.82x = 701,985.69 × 152,447.22
  4. Step 4: Simplify right side
    467,990.82x = 107,015,766,920.28
  5. Step 5: Solve for x
    x = 107,015,766,920.28/467,990.82
  6. Step 6: Final answer
    x = 228,670.65

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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.