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Finding the Fourth Proportional to 413,578.60, 619,331.10 and 330,634.60

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Solution

The fourth proportional to 413,578.60, 619,331.10 and 330,634.60 is: 495,123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,578.60 : 619,331.10 = 330,634.60 : x
  2. Step 2: Convert to fraction form
    413,578.60/619,331.10 = 330,634.60/x
  3. Step 3: Cross multiply
    413,578.60x = 619,331.10 × 330,634.60
  4. Step 4: Simplify right side
    413,578.60x = 204,772,290,516.06
  5. Step 5: Solve for x
    x = 204,772,290,516.06/413,578.60
  6. Step 6: Final answer
    x = 495,123.03

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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.