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Finding the Fourth Proportional to 322,126.31, 444,543.63 and 184,327.65

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Solution

The fourth proportional to 322,126.31, 444,543.63 and 184,327.65 is: 254,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,126.31 : 444,543.63 = 184,327.65 : x
  2. Step 2: Convert to fraction form
    322,126.31/444,543.63 = 184,327.65/x
  3. Step 3: Cross multiply
    322,126.31x = 444,543.63 × 184,327.65
  4. Step 4: Simplify right side
    322,126.31x = 81,941,680,417.65
  5. Step 5: Solve for x
    x = 81,941,680,417.65/322,126.31
  6. Step 6: Final answer
    x = 254,377.49

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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.