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Finding the Fourth Proportional to 456,753.51, 684,818.86 and 231,679.94

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Solution

The fourth proportional to 456,753.51, 684,818.86 and 231,679.94 is: 347,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,753.51 : 684,818.86 = 231,679.94 : x
  2. Step 2: Convert to fraction form
    456,753.51/684,818.86 = 231,679.94/x
  3. Step 3: Cross multiply
    456,753.51x = 684,818.86 × 231,679.94
  4. Step 4: Simplify right side
    456,753.51x = 158,658,791,829.25
  5. Step 5: Solve for x
    x = 158,658,791,829.25/456,753.51
  6. Step 6: Final answer
    x = 347,361.96

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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.