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Finding the Fourth Proportional to 596,265.68, 894,398.52 and 408,708.56

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Solution

The fourth proportional to 596,265.68, 894,398.52 and 408,708.56 is: 613,062.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,265.68 : 894,398.52 = 408,708.56 : x
  2. Step 2: Convert to fraction form
    596,265.68/894,398.52 = 408,708.56/x
  3. Step 3: Cross multiply
    596,265.68x = 894,398.52 × 408,708.56
  4. Step 4: Simplify right side
    596,265.68x = 365,548,331,175.33
  5. Step 5: Solve for x
    x = 365,548,331,175.33/596,265.68
  6. Step 6: Final answer
    x = 613,062.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.