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Finding the Fourth Proportional to 469,298.82, 647,592.51 and 265,321.43

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Solution

The fourth proportional to 469,298.82, 647,592.51 and 265,321.43 is: 366,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,298.82 : 647,592.51 = 265,321.43 : x
  2. Step 2: Convert to fraction form
    469,298.82/647,592.51 = 265,321.43/x
  3. Step 3: Cross multiply
    469,298.82x = 647,592.51 × 265,321.43
  4. Step 4: Simplify right side
    469,298.82x = 171,820,170,995.95
  5. Step 5: Solve for x
    x = 171,820,170,995.95/469,298.82
  6. Step 6: Final answer
    x = 366,121.03

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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.