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Finding the Fourth Proportional to 322,412.72, 444,894.21 and 186,426.08

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Solution

The fourth proportional to 322,412.72, 444,894.21 and 186,426.08 is: 257,247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,412.72 : 444,894.21 = 186,426.08 : x
  2. Step 2: Convert to fraction form
    322,412.72/444,894.21 = 186,426.08/x
  3. Step 3: Cross multiply
    322,412.72x = 444,894.21 × 186,426.08
  4. Step 4: Simplify right side
    322,412.72x = 82,939,881,360.53
  5. Step 5: Solve for x
    x = 82,939,881,360.53/322,412.72
  6. Step 6: Final answer
    x = 257,247.55

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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.