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Finding the Fourth Proportional to 397,114.80, 595,614.60 and 116,602.80

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Solution

The fourth proportional to 397,114.80, 595,614.60 and 116,602.80 is: 174,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,114.80 : 595,614.60 = 116,602.80 : x
  2. Step 2: Convert to fraction form
    397,114.80/595,614.60 = 116,602.80/x
  3. Step 3: Cross multiply
    397,114.80x = 595,614.60 × 116,602.80
  4. Step 4: Simplify right side
    397,114.80x = 69,450,330,080.88
  5. Step 5: Solve for x
    x = 69,450,330,080.88/397,114.80
  6. Step 6: Final answer
    x = 174,887.29

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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.