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Finding the Fourth Proportional to 289,327.80, 433,473.30 and 247,855.80

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Solution

The fourth proportional to 289,327.80, 433,473.30 and 247,855.80 is: 371,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,327.80 : 433,473.30 = 247,855.80 : x
  2. Step 2: Convert to fraction form
    289,327.80/433,473.30 = 247,855.80/x
  3. Step 3: Cross multiply
    289,327.80x = 433,473.30 × 247,855.80
  4. Step 4: Simplify right side
    289,327.80x = 107,438,871,550.14
  5. Step 5: Solve for x
    x = 107,438,871,550.14/289,327.80
  6. Step 6: Final answer
    x = 371,339.61

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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.