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Finding the Fourth Proportional to 469,614.92, 648,069.83 and 254,754.98

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Solution

The fourth proportional to 469,614.92, 648,069.83 and 254,754.98 is: 351,562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,614.92 : 648,069.83 = 254,754.98 : x
  2. Step 2: Convert to fraction form
    469,614.92/648,069.83 = 254,754.98/x
  3. Step 3: Cross multiply
    469,614.92x = 648,069.83 × 254,754.98
  4. Step 4: Simplify right side
    469,614.92x = 165,099,018,837.32
  5. Step 5: Solve for x
    x = 165,099,018,837.32/469,614.92
  6. Step 6: Final answer
    x = 351,562.55

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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.