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Finding the Fourth Proportional to 505,241.12, 697,232.64 and 278,886.56

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Solution

The fourth proportional to 505,241.12, 697,232.64 and 278,886.56 is: 384,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,241.12 : 697,232.64 = 278,886.56 : x
  2. Step 2: Convert to fraction form
    505,241.12/697,232.64 = 278,886.56/x
  3. Step 3: Cross multiply
    505,241.12x = 697,232.64 × 278,886.56
  4. Step 4: Simplify right side
    505,241.12x = 194,448,812,489.32
  5. Step 5: Solve for x
    x = 194,448,812,489.32/505,241.12
  6. Step 6: Final answer
    x = 384,863.39

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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.