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Finding the Fourth Proportional to 413,899.40, 620,957.10 and 133,423.40

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Solution

The fourth proportional to 413,899.40, 620,957.10 and 133,423.40 is: 200,169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,899.40 : 620,957.10 = 133,423.40 : x
  2. Step 2: Convert to fraction form
    413,899.40/620,957.10 = 133,423.40/x
  3. Step 3: Cross multiply
    413,899.40x = 620,957.10 × 133,423.40
  4. Step 4: Simplify right side
    413,899.40x = 82,850,207,536.14
  5. Step 5: Solve for x
    x = 82,850,207,536.14/413,899.40
  6. Step 6: Final answer
    x = 200,169.91

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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.