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Finding the Fourth Proportional to 469,846.14, 648,378.46 and 265,893.28

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Solution

The fourth proportional to 469,846.14, 648,378.46 and 265,893.28 is: 366,927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,846.14 : 648,378.46 = 265,893.28 : x
  2. Step 2: Convert to fraction form
    469,846.14/648,378.46 = 265,893.28/x
  3. Step 3: Cross multiply
    469,846.14x = 648,378.46 × 265,893.28
  4. Step 4: Simplify right side
    469,846.14x = 172,399,475,410.75
  5. Step 5: Solve for x
    x = 172,399,475,410.75/469,846.14
  6. Step 6: Final answer
    x = 366,927.51

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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.