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Finding the Fourth Proportional to 461,805.41, 637,302.28 and 257,849.43

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Solution

The fourth proportional to 461,805.41, 637,302.28 and 257,849.43 is: 355,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,805.41 : 637,302.28 = 257,849.43 : x
  2. Step 2: Convert to fraction form
    461,805.41/637,302.28 = 257,849.43/x
  3. Step 3: Cross multiply
    461,805.41x = 637,302.28 × 257,849.43
  4. Step 4: Simplify right side
    461,805.41x = 164,328,028,991.08
  5. Step 5: Solve for x
    x = 164,328,028,991.08/461,805.41
  6. Step 6: Final answer
    x = 355,838.25

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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.