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Finding the Fourth Proportional to 322,347.06, 444,812.90 and 186,389.82

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Solution

The fourth proportional to 322,347.06, 444,812.90 and 186,389.82 is: 257,202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,347.06 : 444,812.90 = 186,389.82 : x
  2. Step 2: Convert to fraction form
    322,347.06/444,812.90 = 186,389.82/x
  3. Step 3: Cross multiply
    322,347.06x = 444,812.90 × 186,389.82
  4. Step 4: Simplify right side
    322,347.06x = 82,908,595,432.73
  5. Step 5: Solve for x
    x = 82,908,595,432.73/322,347.06
  6. Step 6: Final answer
    x = 257,202.89

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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.