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Finding the Fourth Proportional to 461,773.94, 637,242 and 257,828.33

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Solution

The fourth proportional to 461,773.94, 637,242 and 257,828.33 is: 355,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,773.94 : 637,242 = 257,828.33 : x
  2. Step 2: Convert to fraction form
    461,773.94/637,242 = 257,828.33/x
  3. Step 3: Cross multiply
    461,773.94x = 637,242 × 257,828.33
  4. Step 4: Simplify right side
    461,773.94x = 164,299,040,665.86
  5. Step 5: Solve for x
    x = 164,299,040,665.86/461,773.94
  6. Step 6: Final answer
    x = 355,799.72

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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.