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Finding the Fourth Proportional to 597,760.32, 824,958.60 and 343,160.64

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Solution

The fourth proportional to 597,760.32, 824,958.60 and 343,160.64 is: 473,590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,760.32 : 824,958.60 = 343,160.64 : x
  2. Step 2: Convert to fraction form
    597,760.32/824,958.60 = 343,160.64/x
  3. Step 3: Cross multiply
    597,760.32x = 824,958.60 × 343,160.64
  4. Step 4: Simplify right side
    597,760.32x = 283,093,321,149.50
  5. Step 5: Solve for x
    x = 283,093,321,149.50/597,760.32
  6. Step 6: Final answer
    x = 473,590.02

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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.