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Finding the Fourth Proportional to 597,451, 896,265 and 192,507.52

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Solution

The fourth proportional to 597,451, 896,265 and 192,507.52 is: 288,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,451 : 896,265 = 192,507.52 : x
  2. Step 2: Convert to fraction form
    597,451/896,265 = 192,507.52/x
  3. Step 3: Cross multiply
    597,451x = 896,265 × 192,507.52
  4. Step 4: Simplify right side
    597,451x = 172,537,752,412.80
  5. Step 5: Solve for x
    x = 172,537,752,412.80/597,451
  6. Step 6: Final answer
    x = 288,789.80

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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.