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Finding the Fourth Proportional to 451,092.47, 676,638.45 and 421,198.95

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Solution

The fourth proportional to 451,092.47, 676,638.45 and 421,198.95 is: 631,798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,092.47 : 676,638.45 = 421,198.95 : x
  2. Step 2: Convert to fraction form
    451,092.47/676,638.45 = 421,198.95/x
  3. Step 3: Cross multiply
    451,092.47x = 676,638.45 × 421,198.95
  4. Step 4: Simplify right side
    451,092.47x = 284,999,404,669.63
  5. Step 5: Solve for x
    x = 284,999,404,669.63/451,092.47
  6. Step 6: Final answer
    x = 631,798.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.