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Finding the Fourth Proportional to 489,178.24, 674,151.87 and 381,577.84

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Solution

The fourth proportional to 489,178.24, 674,151.87 and 381,577.84 is: 525,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,178.24 : 674,151.87 = 381,577.84 : x
  2. Step 2: Convert to fraction form
    489,178.24/674,151.87 = 381,577.84/x
  3. Step 3: Cross multiply
    489,178.24x = 674,151.87 × 381,577.84
  4. Step 4: Simplify right side
    489,178.24x = 257,241,414,386.56
  5. Step 5: Solve for x
    x = 257,241,414,386.56/489,178.24
  6. Step 6: Final answer
    x = 525,864.39

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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.