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Finding the Fourth Proportional to 496,166.36, 684,693.36 and 278,361.84

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Solution

The fourth proportional to 496,166.36, 684,693.36 and 278,361.84 is: 384,130.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,166.36 : 684,693.36 = 278,361.84 : x
  2. Step 2: Convert to fraction form
    496,166.36/684,693.36 = 278,361.84/x
  3. Step 3: Cross multiply
    496,166.36x = 684,693.36 × 278,361.84
  4. Step 4: Simplify right side
    496,166.36x = 190,592,503,525.38
  5. Step 5: Solve for x
    x = 190,592,503,525.38/496,166.36
  6. Step 6: Final answer
    x = 384,130.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.