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Finding the Fourth Proportional to 436,134, 654,201 and 116,286.96

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Solution

The fourth proportional to 436,134, 654,201 and 116,286.96 is: 174,430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,134 : 654,201 = 116,286.96 : x
  2. Step 2: Convert to fraction form
    436,134/654,201 = 116,286.96/x
  3. Step 3: Cross multiply
    436,134x = 654,201 × 116,286.96
  4. Step 4: Simplify right side
    436,134x = 76,075,045,518.96
  5. Step 5: Solve for x
    x = 76,075,045,518.96/436,134
  6. Step 6: Final answer
    x = 174,430.44

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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.