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Finding the Fourth Proportional to 596,863.38, 823,646.24 and 324,925.64

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Solution

The fourth proportional to 596,863.38, 823,646.24 and 324,925.64 is: 448,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,863.38 : 823,646.24 = 324,925.64 : x
  2. Step 2: Convert to fraction form
    596,863.38/823,646.24 = 324,925.64/x
  3. Step 3: Cross multiply
    596,863.38x = 823,646.24 × 324,925.64
  4. Step 4: Simplify right side
    596,863.38x = 267,623,781,665.59
  5. Step 5: Solve for x
    x = 267,623,781,665.59/596,863.38
  6. Step 6: Final answer
    x = 448,383.65

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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.