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Finding the Fourth Proportional to 447,376.38, 617,404.95 and 256,421.58

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Solution

The fourth proportional to 447,376.38, 617,404.95 and 256,421.58 is: 353,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,376.38 : 617,404.95 = 256,421.58 : x
  2. Step 2: Convert to fraction form
    447,376.38/617,404.95 = 256,421.58/x
  3. Step 3: Cross multiply
    447,376.38x = 617,404.95 × 256,421.58
  4. Step 4: Simplify right side
    447,376.38x = 158,315,952,778.82
  5. Step 5: Solve for x
    x = 158,315,952,778.82/447,376.38
  6. Step 6: Final answer
    x = 353,876.42

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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.