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Finding the Fourth Proportional to 447,620.80, 671,431.20 and 258,404.80

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Solution

The fourth proportional to 447,620.80, 671,431.20 and 258,404.80 is: 387,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,620.80 : 671,431.20 = 258,404.80 : x
  2. Step 2: Convert to fraction form
    447,620.80/671,431.20 = 258,404.80/x
  3. Step 3: Cross multiply
    447,620.80x = 671,431.20 × 258,404.80
  4. Step 4: Simplify right side
    447,620.80x = 173,501,044,949.76
  5. Step 5: Solve for x
    x = 173,501,044,949.76/447,620.80
  6. Step 6: Final answer
    x = 387,607.20

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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.