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Finding the Fourth Proportional to 415,908.64, 574,109.16 and 323,845.68

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Solution

The fourth proportional to 415,908.64, 574,109.16 and 323,845.68 is: 447,027.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,908.64 : 574,109.16 = 323,845.68 : x
  2. Step 2: Convert to fraction form
    415,908.64/574,109.16 = 323,845.68/x
  3. Step 3: Cross multiply
    415,908.64x = 574,109.16 × 323,845.68
  4. Step 4: Simplify right side
    415,908.64x = 185,922,771,314.43
  5. Step 5: Solve for x
    x = 185,922,771,314.43/415,908.64
  6. Step 6: Final answer
    x = 447,027.91

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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.