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Finding the Fourth Proportional to 447,624.80, 671,437.20 and 258,408.80

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Solution

The fourth proportional to 447,624.80, 671,437.20 and 258,408.80 is: 387,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,624.80 : 671,437.20 = 258,408.80 : x
  2. Step 2: Convert to fraction form
    447,624.80/671,437.20 = 258,408.80/x
  3. Step 3: Cross multiply
    447,624.80x = 671,437.20 × 258,408.80
  4. Step 4: Simplify right side
    447,624.80x = 173,505,281,127.36
  5. Step 5: Solve for x
    x = 173,505,281,127.36/447,624.80
  6. Step 6: Final answer
    x = 387,613.20

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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.