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Finding the Fourth Proportional to 678,007.28, 935,822.04 and 463,234.16

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Solution

The fourth proportional to 678,007.28, 935,822.04 and 463,234.16 is: 639,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,007.28 : 935,822.04 = 463,234.16 : x
  2. Step 2: Convert to fraction form
    678,007.28/935,822.04 = 463,234.16/x
  3. Step 3: Cross multiply
    678,007.28x = 935,822.04 × 463,234.16
  4. Step 4: Simplify right side
    678,007.28x = 433,504,736,608.89
  5. Step 5: Solve for x
    x = 433,504,736,608.89/678,007.28
  6. Step 6: Final answer
    x = 639,380.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.