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Finding the Fourth Proportional to 413,521.80, 620,282.70 and 133,067.40

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Solution

The fourth proportional to 413,521.80, 620,282.70 and 133,067.40 is: 199,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,521.80 : 620,282.70 = 133,067.40 : x
  2. Step 2: Convert to fraction form
    413,521.80/620,282.70 = 133,067.40/x
  3. Step 3: Cross multiply
    413,521.80x = 620,282.70 × 133,067.40
  4. Step 4: Simplify right side
    413,521.80x = 82,539,406,153.98
  5. Step 5: Solve for x
    x = 82,539,406,153.98/413,521.80
  6. Step 6: Final answer
    x = 199,601.10

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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.