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Finding the Fourth Proportional to 395,735.18, 592,183.82 and 342,609.88

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Solution

The fourth proportional to 395,735.18, 592,183.82 and 342,609.88 is: 512,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,735.18 : 592,183.82 = 342,609.88 : x
  2. Step 2: Convert to fraction form
    395,735.18/592,183.82 = 342,609.88/x
  3. Step 3: Cross multiply
    395,735.18x = 592,183.82 × 342,609.88
  4. Step 4: Simplify right side
    395,735.18x = 202,888,026,884.21
  5. Step 5: Solve for x
    x = 202,888,026,884.21/395,735.18
  6. Step 6: Final answer
    x = 512,686.35

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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.