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Finding the Fourth Proportional to 701,007.21, 966,754.80 and 459,201.60

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Solution

The fourth proportional to 701,007.21, 966,754.80 and 459,201.60 is: 633,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,007.21 : 966,754.80 = 459,201.60 : x
  2. Step 2: Convert to fraction form
    701,007.21/966,754.80 = 459,201.60/x
  3. Step 3: Cross multiply
    701,007.21x = 966,754.80 × 459,201.60
  4. Step 4: Simplify right side
    701,007.21x = 443,935,350,967.68
  5. Step 5: Solve for x
    x = 443,935,350,967.68/701,007.21
  6. Step 6: Final answer
    x = 633,282.15

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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.