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Finding the Fourth Proportional to 597,468.72, 824,497.20 and 325,540.20

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Solution

The fourth proportional to 597,468.72, 824,497.20 and 325,540.20 is: 449,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,468.72 : 824,497.20 = 325,540.20 : x
  2. Step 2: Convert to fraction form
    597,468.72/824,497.20 = 325,540.20/x
  3. Step 3: Cross multiply
    597,468.72x = 824,497.20 × 325,540.20
  4. Step 4: Simplify right side
    597,468.72x = 268,406,983,387.44
  5. Step 5: Solve for x
    x = 268,406,983,387.44/597,468.72
  6. Step 6: Final answer
    x = 449,240.23

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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.