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Finding the Fourth Proportional to 505,536.99, 697,635.24 and 290,677.90

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Solution

The fourth proportional to 505,536.99, 697,635.24 and 290,677.90 is: 401,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,536.99 : 697,635.24 = 290,677.90 : x
  2. Step 2: Convert to fraction form
    505,536.99/697,635.24 = 290,677.90/x
  3. Step 3: Cross multiply
    505,536.99x = 697,635.24 × 290,677.90
  4. Step 4: Simplify right side
    505,536.99x = 202,787,146,529.20
  5. Step 5: Solve for x
    x = 202,787,146,529.20/505,536.99
  6. Step 6: Final answer
    x = 401,132.16

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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.