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Finding the Fourth Proportional to 505,684.62, 697,864.95 and 290,824.56

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Solution

The fourth proportional to 505,684.62, 697,864.95 and 290,824.56 is: 401,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,684.62 : 697,864.95 = 290,824.56 : x
  2. Step 2: Convert to fraction form
    505,684.62/697,864.95 = 290,824.56/x
  3. Step 3: Cross multiply
    505,684.62x = 697,864.95 × 290,824.56
  4. Step 4: Simplify right side
    505,684.62x = 202,956,267,023.17
  5. Step 5: Solve for x
    x = 202,956,267,023.17/505,684.62
  6. Step 6: Final answer
    x = 401,349.50

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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.