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Finding the Fourth Proportional to 413,472.80, 620,209.20 and 407,943.20

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Solution

The fourth proportional to 413,472.80, 620,209.20 and 407,943.20 is: 611,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,472.80 : 620,209.20 = 407,943.20 : x
  2. Step 2: Convert to fraction form
    413,472.80/620,209.20 = 407,943.20/x
  3. Step 3: Cross multiply
    413,472.80x = 620,209.20 × 407,943.20
  4. Step 4: Simplify right side
    413,472.80x = 253,010,125,717.44
  5. Step 5: Solve for x
    x = 253,010,125,717.44/413,472.80
  6. Step 6: Final answer
    x = 611,914.80

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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.