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Finding the Fourth Proportional to 447,613.30, 671,623.06 and 409,772.54

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Solution

The fourth proportional to 447,613.30, 671,623.06 and 409,772.54 is: 614,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,613.30 : 671,623.06 = 409,772.54 : x
  2. Step 2: Convert to fraction form
    447,613.30/671,623.06 = 409,772.54/x
  3. Step 3: Cross multiply
    447,613.30x = 671,623.06 × 409,772.54
  4. Step 4: Simplify right side
    447,613.30x = 275,212,687,218.77
  5. Step 5: Solve for x
    x = 275,212,687,218.77/447,613.30
  6. Step 6: Final answer
    x = 614,844.75

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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.