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Finding the Fourth Proportional to 413,825.80, 620,738.70 and 411,201.40

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Solution

The fourth proportional to 413,825.80, 620,738.70 and 411,201.40 is: 616,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,825.80 : 620,738.70 = 411,201.40 : x
  2. Step 2: Convert to fraction form
    413,825.80/620,738.70 = 411,201.40/x
  3. Step 3: Cross multiply
    413,825.80x = 620,738.70 × 411,201.40
  4. Step 4: Simplify right side
    413,825.80x = 255,248,622,474.18
  5. Step 5: Solve for x
    x = 255,248,622,474.18/413,825.80
  6. Step 6: Final answer
    x = 616,802.10

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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.