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Finding the Fourth Proportional to 310,223.24, 464,458.44 and 252,957.68

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Solution

The fourth proportional to 310,223.24, 464,458.44 and 252,957.68 is: 378,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,223.24 : 464,458.44 = 252,957.68 : x
  2. Step 2: Convert to fraction form
    310,223.24/464,458.44 = 252,957.68/x
  3. Step 3: Cross multiply
    310,223.24x = 464,458.44 × 252,957.68
  4. Step 4: Simplify right side
    310,223.24x = 117,488,329,438.82
  5. Step 5: Solve for x
    x = 117,488,329,438.82/310,223.24
  6. Step 6: Final answer
    x = 378,721.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.