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Finding the Fourth Proportional to 377,159.64, 520,494.30 and 226,227.48

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Solution

The fourth proportional to 377,159.64, 520,494.30 and 226,227.48 is: 312,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,159.64 : 520,494.30 = 226,227.48 : x
  2. Step 2: Convert to fraction form
    377,159.64/520,494.30 = 226,227.48/x
  3. Step 3: Cross multiply
    377,159.64x = 520,494.30 × 226,227.48
  4. Step 4: Simplify right side
    377,159.64x = 117,750,113,843.36
  5. Step 5: Solve for x
    x = 117,750,113,843.36/377,159.64
  6. Step 6: Final answer
    x = 312,202.32

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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.