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Finding the Fourth Proportional to 333,178, 459,796.44 and 182,275

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Solution

The fourth proportional to 333,178, 459,796.44 and 182,275 is: 251,545.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,178 : 459,796.44 = 182,275 : x
  2. Step 2: Convert to fraction form
    333,178/459,796.44 = 182,275/x
  3. Step 3: Cross multiply
    333,178x = 459,796.44 × 182,275
  4. Step 4: Simplify right side
    333,178x = 83,809,396,101
  5. Step 5: Solve for x
    x = 83,809,396,101/333,178
  6. Step 6: Final answer
    x = 251,545.41

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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.