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Finding the Fourth Proportional to 399,953.06, 599,961.48 and 133,714.96

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Solution

The fourth proportional to 399,953.06, 599,961.48 and 133,714.96 is: 200,583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,953.06 : 599,961.48 = 133,714.96 : x
  2. Step 2: Convert to fraction form
    399,953.06/599,961.48 = 133,714.96/x
  3. Step 3: Cross multiply
    399,953.06x = 599,961.48 × 133,714.96
  4. Step 4: Simplify right side
    399,953.06x = 80,223,825,299.74
  5. Step 5: Solve for x
    x = 80,223,825,299.74/399,953.06
  6. Step 6: Final answer
    x = 200,583.10

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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.