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Finding the Fourth Proportional to 469,549.64, 647,978.51 and 265,596.17

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Solution

The fourth proportional to 469,549.64, 647,978.51 and 265,596.17 is: 366,522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,549.64 : 647,978.51 = 265,596.17 : x
  2. Step 2: Convert to fraction form
    469,549.64/647,978.51 = 265,596.17/x
  3. Step 3: Cross multiply
    469,549.64x = 647,978.51 × 265,596.17
  4. Step 4: Simplify right side
    469,549.64x = 172,100,605,930.43
  5. Step 5: Solve for x
    x = 172,100,605,930.43/469,549.64
  6. Step 6: Final answer
    x = 366,522.71

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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.