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Finding the Fourth Proportional to 617,514.04, 925,796.20 and 313,658.54

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Solution

The fourth proportional to 617,514.04, 925,796.20 and 313,658.54 is: 470,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,514.04 : 925,796.20 = 313,658.54 : x
  2. Step 2: Convert to fraction form
    617,514.04/925,796.20 = 313,658.54/x
  3. Step 3: Cross multiply
    617,514.04x = 925,796.20 × 313,658.54
  4. Step 4: Simplify right side
    617,514.04x = 290,383,884,429.55
  5. Step 5: Solve for x
    x = 290,383,884,429.55/617,514.04
  6. Step 6: Final answer
    x = 470,246.61

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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.