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Finding the Fourth Proportional to 475,929.28, 713,642.64 and 251,410.24

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Solution

The fourth proportional to 475,929.28, 713,642.64 and 251,410.24 is: 376,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,929.28 : 713,642.64 = 251,410.24 : x
  2. Step 2: Convert to fraction form
    475,929.28/713,642.64 = 251,410.24/x
  3. Step 3: Cross multiply
    475,929.28x = 713,642.64 × 251,410.24
  4. Step 4: Simplify right side
    475,929.28x = 179,417,067,396.63
  5. Step 5: Solve for x
    x = 179,417,067,396.63/475,929.28
  6. Step 6: Final answer
    x = 376,982.62

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Why These Related Problems?

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