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Finding the Fourth Proportional to 413,828.80, 620,743.20 and 411,204.40

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Solution

The fourth proportional to 413,828.80, 620,743.20 and 411,204.40 is: 616,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,828.80 : 620,743.20 = 411,204.40 : x
  2. Step 2: Convert to fraction form
    413,828.80/620,743.20 = 411,204.40/x
  3. Step 3: Cross multiply
    413,828.80x = 620,743.20 × 411,204.40
  4. Step 4: Simplify right side
    413,828.80x = 255,252,335,110.08
  5. Step 5: Solve for x
    x = 255,252,335,110.08/413,828.80
  6. Step 6: Final answer
    x = 616,806.60

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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.