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Finding the Fourth Proportional to 467,709.30, 645,613.02 and 364,137.84

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Solution

The fourth proportional to 467,709.30, 645,613.02 and 364,137.84 is: 502,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,709.30 : 645,613.02 = 364,137.84 : x
  2. Step 2: Convert to fraction form
    467,709.30/645,613.02 = 364,137.84/x
  3. Step 3: Cross multiply
    467,709.30x = 645,613.02 × 364,137.84
  4. Step 4: Simplify right side
    467,709.30x = 235,092,130,578.68
  5. Step 5: Solve for x
    x = 235,092,130,578.68/467,709.30
  6. Step 6: Final answer
    x = 502,645.83

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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.