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Finding the Fourth Proportional to 413,427.90, 620,105.40 and 113,881.80

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Solution

The fourth proportional to 413,427.90, 620,105.40 and 113,881.80 is: 170,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,427.90 : 620,105.40 = 113,881.80 : x
  2. Step 2: Convert to fraction form
    413,427.90/620,105.40 = 113,881.80/x
  3. Step 3: Cross multiply
    413,427.90x = 620,105.40 × 113,881.80
  4. Step 4: Simplify right side
    413,427.90x = 70,618,719,141.72
  5. Step 5: Solve for x
    x = 70,618,719,141.72/413,427.90
  6. Step 6: Final answer
    x = 170,812.66

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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.