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Finding the Fourth Proportional to 413,423.80, 620,135.70 and 407,894.20

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Solution

The fourth proportional to 413,423.80, 620,135.70 and 407,894.20 is: 611,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,423.80 : 620,135.70 = 407,894.20 : x
  2. Step 2: Convert to fraction form
    413,423.80/620,135.70 = 407,894.20/x
  3. Step 3: Cross multiply
    413,423.80x = 620,135.70 × 407,894.20
  4. Step 4: Simplify right side
    413,423.80x = 252,949,755,242.94
  5. Step 5: Solve for x
    x = 252,949,755,242.94/413,423.80
  6. Step 6: Final answer
    x = 611,841.30

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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.