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Finding the Fourth Proportional to 413,607.03, 620,453.70 and 114,087.66

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Solution

The fourth proportional to 413,607.03, 620,453.70 and 114,087.66 is: 171,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,607.03 : 620,453.70 = 114,087.66 : x
  2. Step 2: Convert to fraction form
    413,607.03/620,453.70 = 114,087.66/x
  3. Step 3: Cross multiply
    413,607.03x = 620,453.70 × 114,087.66
  4. Step 4: Simplify right side
    413,607.03x = 70,786,110,771.34
  5. Step 5: Solve for x
    x = 70,786,110,771.34/413,607.03
  6. Step 6: Final answer
    x = 171,143.39

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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.