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Finding the Fourth Proportional to 475,436.49, 713,788.20 and 275,900.07

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Solution

The fourth proportional to 475,436.49, 713,788.20 and 275,900.07 is: 414,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,436.49 : 713,788.20 = 275,900.07 : x
  2. Step 2: Convert to fraction form
    475,436.49/713,788.20 = 275,900.07/x
  3. Step 3: Cross multiply
    475,436.49x = 713,788.20 × 275,900.07
  4. Step 4: Simplify right side
    475,436.49x = 196,934,217,021.88
  5. Step 5: Solve for x
    x = 196,934,217,021.88/475,436.49
  6. Step 6: Final answer
    x = 414,217.72

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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.