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Finding the Fourth Proportional to 447,798.96, 617,774.04 and 296,633.52

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Solution

The fourth proportional to 447,798.96, 617,774.04 and 296,633.52 is: 409,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,798.96 : 617,774.04 = 296,633.52 : x
  2. Step 2: Convert to fraction form
    447,798.96/617,774.04 = 296,633.52/x
  3. Step 3: Cross multiply
    447,798.96x = 617,774.04 × 296,633.52
  4. Step 4: Simplify right side
    447,798.96x = 183,252,488,049.82
  5. Step 5: Solve for x
    x = 183,252,488,049.82/447,798.96
  6. Step 6: Final answer
    x = 409,229.37

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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.