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Finding the Fourth Proportional to 413,703.52, 620,358.40 and 188,997.44

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Solution

The fourth proportional to 413,703.52, 620,358.40 and 188,997.44 is: 283,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,703.52 : 620,358.40 = 188,997.44 : x
  2. Step 2: Convert to fraction form
    413,703.52/620,358.40 = 188,997.44/x
  3. Step 3: Cross multiply
    413,703.52x = 620,358.40 × 188,997.44
  4. Step 4: Simplify right side
    413,703.52x = 117,246,149,482.50
  5. Step 5: Solve for x
    x = 117,246,149,482.50/413,703.52
  6. Step 6: Final answer
    x = 283,406.22

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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.