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Finding the Fourth Proportional to 505,096.56, 697,094.64 and 290,235.96

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Solution

The fourth proportional to 505,096.56, 697,094.64 and 290,235.96 is: 400,560.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,096.56 : 697,094.64 = 290,235.96 : x
  2. Step 2: Convert to fraction form
    505,096.56/697,094.64 = 290,235.96/x
  3. Step 3: Cross multiply
    505,096.56x = 697,094.64 × 290,235.96
  4. Step 4: Simplify right side
    505,096.56x = 202,321,932,051.25
  5. Step 5: Solve for x
    x = 202,321,932,051.25/505,096.56
  6. Step 6: Final answer
    x = 400,560.90

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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.