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Finding the Fourth Proportional to 605,864.20, 908,796.30 and 416,907.40

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Solution

The fourth proportional to 605,864.20, 908,796.30 and 416,907.40 is: 625,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,864.20 : 908,796.30 = 416,907.40 : x
  2. Step 2: Convert to fraction form
    605,864.20/908,796.30 = 416,907.40/x
  3. Step 3: Cross multiply
    605,864.20x = 908,796.30 × 416,907.40
  4. Step 4: Simplify right side
    605,864.20x = 378,883,902,562.62
  5. Step 5: Solve for x
    x = 378,883,902,562.62/605,864.20
  6. Step 6: Final answer
    x = 625,361.10

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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.