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Finding the Fourth Proportional to 407,085.72, 610,478.82 and 140,777.88

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Solution

The fourth proportional to 407,085.72, 610,478.82 and 140,777.88 is: 211,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,085.72 : 610,478.82 = 140,777.88 : x
  2. Step 2: Convert to fraction form
    407,085.72/610,478.82 = 140,777.88/x
  3. Step 3: Cross multiply
    407,085.72x = 610,478.82 × 140,777.88
  4. Step 4: Simplify right side
    407,085.72x = 85,941,914,064.50
  5. Step 5: Solve for x
    x = 85,941,914,064.50/407,085.72
  6. Step 6: Final answer
    x = 211,115.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.