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Finding the Fourth Proportional to 413,550.90, 620,434.35 and 133,074.90

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Solution

The fourth proportional to 413,550.90, 620,434.35 and 133,074.90 is: 199,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,550.90 : 620,434.35 = 133,074.90 : x
  2. Step 2: Convert to fraction form
    413,550.90/620,434.35 = 133,074.90/x
  3. Step 3: Cross multiply
    413,550.90x = 620,434.35 × 133,074.90
  4. Step 4: Simplify right side
    413,550.90x = 82,564,239,082.82
  5. Step 5: Solve for x
    x = 82,564,239,082.82/413,550.90
  6. Step 6: Final answer
    x = 199,647.10

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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.