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Finding the Fourth Proportional to 416,137.43, 574,666.34 and 393,467.88

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Solution

The fourth proportional to 416,137.43, 574,666.34 and 393,467.88 is: 543,360.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,137.43 : 574,666.34 = 393,467.88 : x
  2. Step 2: Convert to fraction form
    416,137.43/574,666.34 = 393,467.88/x
  3. Step 3: Cross multiply
    416,137.43x = 574,666.34 × 393,467.88
  4. Step 4: Simplify right side
    416,137.43x = 226,112,746,507.16
  5. Step 5: Solve for x
    x = 226,112,746,507.16/416,137.43
  6. Step 6: Final answer
    x = 543,360.75

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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.