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Finding the Fourth Proportional to 469,891.84, 648,456.96 and 255,034.48

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Solution

The fourth proportional to 469,891.84, 648,456.96 and 255,034.48 is: 351,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,891.84 : 648,456.96 = 255,034.48 : x
  2. Step 2: Convert to fraction form
    469,891.84/648,456.96 = 255,034.48/x
  3. Step 3: Cross multiply
    469,891.84x = 648,456.96 × 255,034.48
  4. Step 4: Simplify right side
    469,891.84x = 165,378,883,595.98
  5. Step 5: Solve for x
    x = 165,378,883,595.98/469,891.84
  6. Step 6: Final answer
    x = 351,950.96

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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.