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Finding the Fourth Proportional to 461,968.70, 637,475.32 and 257,991.31

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Solution

The fourth proportional to 461,968.70, 637,475.32 and 257,991.31 is: 356,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,968.70 : 637,475.32 = 257,991.31 : x
  2. Step 2: Convert to fraction form
    461,968.70/637,475.32 = 257,991.31/x
  3. Step 3: Cross multiply
    461,968.70x = 637,475.32 × 257,991.31
  4. Step 4: Simplify right side
    461,968.70x = 164,463,092,899.47
  5. Step 5: Solve for x
    x = 164,463,092,899.47/461,968.70
  6. Step 6: Final answer
    x = 356,004.84

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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.