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Finding the Fourth Proportional to 597,781.86, 824,925.78 and 325,839.30

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Solution

The fourth proportional to 597,781.86, 824,925.78 and 325,839.30 is: 449,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,781.86 : 824,925.78 = 325,839.30 : x
  2. Step 2: Convert to fraction form
    597,781.86/824,925.78 = 325,839.30/x
  3. Step 3: Cross multiply
    597,781.86x = 824,925.78 × 325,839.30
  4. Step 4: Simplify right side
    597,781.86x = 268,793,238,707.15
  5. Step 5: Solve for x
    x = 268,793,238,707.15/597,781.86
  6. Step 6: Final answer
    x = 449,651.05

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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.