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Finding the Fourth Proportional to 505,967.28, 698,235.96 and 276,528.24

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Solution

The fourth proportional to 505,967.28, 698,235.96 and 276,528.24 is: 381,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,967.28 : 698,235.96 = 276,528.24 : x
  2. Step 2: Convert to fraction form
    505,967.28/698,235.96 = 276,528.24/x
  3. Step 3: Cross multiply
    505,967.28x = 698,235.96 × 276,528.24
  4. Step 4: Simplify right side
    505,967.28x = 193,081,961,123.51
  5. Step 5: Solve for x
    x = 193,081,961,123.51/505,967.28
  6. Step 6: Final answer
    x = 381,609.58

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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.