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Finding the Fourth Proportional to 395,172.33, 592,757.65 and 305,345.64

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Solution

The fourth proportional to 395,172.33, 592,757.65 and 305,345.64 is: 458,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,172.33 : 592,757.65 = 305,345.64 : x
  2. Step 2: Convert to fraction form
    395,172.33/592,757.65 = 305,345.64/x
  3. Step 3: Cross multiply
    395,172.33x = 592,757.65 × 305,345.64
  4. Step 4: Simplify right side
    395,172.33x = 180,995,960,723.27
  5. Step 5: Solve for x
    x = 180,995,960,723.27/395,172.33
  6. Step 6: Final answer
    x = 458,017.79

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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.