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Finding the Fourth Proportional to 488,769.30, 733,153.95 and 414,958.05

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Solution

The fourth proportional to 488,769.30, 733,153.95 and 414,958.05 is: 622,437.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,769.30 : 733,153.95 = 414,958.05 : x
  2. Step 2: Convert to fraction form
    488,769.30/733,153.95 = 414,958.05/x
  3. Step 3: Cross multiply
    488,769.30x = 733,153.95 × 414,958.05
  4. Step 4: Simplify right side
    488,769.30x = 304,228,133,441.80
  5. Step 5: Solve for x
    x = 304,228,133,441.80/488,769.30
  6. Step 6: Final answer
    x = 622,437.08

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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.