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Finding the Fourth Proportional to 475,815.24, 713,496.87 and 276,196.82

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Solution

The fourth proportional to 475,815.24, 713,496.87 and 276,196.82 is: 414,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,815.24 : 713,496.87 = 276,196.82 : x
  2. Step 2: Convert to fraction form
    475,815.24/713,496.87 = 276,196.82/x
  3. Step 3: Cross multiply
    475,815.24x = 713,496.87 × 276,196.82
  4. Step 4: Simplify right side
    475,815.24x = 197,065,563,006.47
  5. Step 5: Solve for x
    x = 197,065,563,006.47/475,815.24
  6. Step 6: Final answer
    x = 414,164.04

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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.