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Finding the Fourth Proportional to 508,090.96, 701,197.04 and 281,736.48

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Solution

The fourth proportional to 508,090.96, 701,197.04 and 281,736.48 is: 388,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,090.96 : 701,197.04 = 281,736.48 : x
  2. Step 2: Convert to fraction form
    508,090.96/701,197.04 = 281,736.48/x
  3. Step 3: Cross multiply
    508,090.96x = 701,197.04 × 281,736.48
  4. Step 4: Simplify right side
    508,090.96x = 197,552,785,836.02
  5. Step 5: Solve for x
    x = 197,552,785,836.02/508,090.96
  6. Step 6: Final answer
    x = 388,813.82

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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.