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Finding the Fourth Proportional to 701,505.41, 967,431.87 and 459,700.16

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Solution

The fourth proportional to 701,505.41, 967,431.87 and 459,700.16 is: 633,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,505.41 : 967,431.87 = 459,700.16 : x
  2. Step 2: Convert to fraction form
    701,505.41/967,431.87 = 459,700.16/x
  3. Step 3: Cross multiply
    701,505.41x = 967,431.87 × 459,700.16
  4. Step 4: Simplify right side
    701,505.41x = 444,728,585,428.10
  5. Step 5: Solve for x
    x = 444,728,585,428.10/701,505.41
  6. Step 6: Final answer
    x = 633,963.16

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Why These Related Problems?

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